Suppose you have a linear integer optimization problem. You solve the problem as a linear optimization problem by ignoring the integer constraints and obtain an integer optimal solution (i.e., your model did not require the variables to be integer, but it turned out when you solved the problem Solver found an optimal answer where the variables are integer).

Which of the statements below are correct (choose only one):

A. You can categorically state that you have the optimal solution to the integer optimization problem.
B. You can categorically state that you do not have the optimal solution to the integer optimization problem.
C. None of the above.

Answers

Answer 1

Answer:

Option(A) is the correct answer to the given question .

Explanation:

The integer programming problem is also known as the computational optimization or the functionality method that main objective to limits the some or many of the parameters may be integer. The objective of linear  optimization problem to make the objective function as well as integer constraints linear .

The integer programming problem conclusively specify of the optimised solution to the issue of the integral optimisation.All the other option are not correct for the linear integer optimization problem because they are not  give objective function as well as integer constraints as linear .

Related Questions

Assume Ava Co. has the following purchases of inventory during the first month of operations Number of Units Cost per unit First Purchase 338 2.1 Second Purchase 188 4.1 Assuming Ava Co sells 253 units at $10 each, what is the ending balance in the inventory account if they use LIFO?

Answers

Answer:

$573.30

Explanation:

The computation of the ending inventory using the LIFO is shown below:

Given that

First purchase units = 338 units at $2.1

The Second purchased units = 188 units at $4.1

Sells units = 253 units at $10 each

Based on the above information, the ending inventory is

= (First purchased units + second purchased units - sells units) × cost per unit

= (338 units + 188 units - 253 units) × $2.1

= $573.30

Situation
The context you find yourself in is electronics store owner. The name of your store is Electro Hut. As an owner you want to make a profit. You need to price the products you are selling, but need to make sure that overall you have 30% profit, but two of the products you sell require you to sell them for a price set by the manufacture.
The challenge involves dealing with your customers. In order to be the best store in town, you must not over charge. Adding 30% to all the items except the products that you must sell at a price set by the manufacture will ensure you don't price too high.
For the two items that prices are set by the manufacture you need to find the amount of profit that manufacturer are allowing you to make.

Finally, you will need to write a summary paragraph which needs to explain what you did and why you did it.

Answers

Answer:

Try This

Explanation:

Try to find the number of flexable priced products you may sell. for 30% to the profit, you must factor in the total available numbers, and evenly divide the percentage lost to the other products. take 30% of the price you pay for the two regulated products, add that number and you may then divide that amount equaly to the already 30% profit you have factored in with the other items.

a-  amount

B- price

p- necessary profit

c- profit per item

(Ba x.03) = p

p/(a-2)  = c

((2.00 x 4) .30) =

=8.00 x .3  

=2.4

4-2/ 2.4

2/ 2.4

1.2 = c

c should be how much you add to two items, and your done! you have a correct price set for your item that allow you to make 30% profit on all items excluding the two that must be kept at a standard price.

Calculate costs of goods sold for Day Company

Answers

The cost of goods sold for Day Company for the period ended December 31, 2021, is $5,000.

What is the cost of goods sold?

The cost of goods sold is the difference between the beginning inventory added to the period's purchases or finished goods while subtracting the ending inventory.

In other words, the cost of goods sold is the difference between the cost of goods available for sale and the ending inventory.

Data and Calculations:

Beginning inventory = $1,000

Purchases = $7,000

Ending inventory = $3,000

Cost of goods sold = $5,000 ($1,000 + $7,000 - $3,000)

Thus, the cost of goods sold for Day Company for the period ended December 31, 2021, is $5,000.

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Why do you
think it's easier to forget entrepreneurship than labor or capital?

Answers

Entrepreneurship is much less tangible than other factors of production capital, that is why it's far more hard to discover.

Entrepreneurship is the assignment of latest business ventures that could eventually become profitable agencies. Some economists identify entrepreneurship as a factor of production due to the fact it is able to boom the effective performance of a company. Land refers to herbal resources, exertions refers to work attempt, and capital is anything made that is used to make something else. The final aid, entrepreneurship, refers to the capability to place the opposite 3 sources together to create capital.

Labor refers to all salary-incomes activities, including the work of specialists, retail workers, and so forth. Entrepreneurship refers back to the projects taken by way of entrepreneurs, who commonly begin as the first people in their firms after which regularly appoint different elements of production to grow their organizations.

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the following balance where extracted from the book of Alfsal, a sole trader as at 31/12/2014 capital 198000 ,drawing 10700, building 300000, office equipment (cost le 22000) 15000, patent 24000, delivery van at cost63000, Accumulated depreciation delivery vans 14000, stock 01/01/2014 29000, sale485,000, purchase 196000, return outward 5300, return inward 17000, creditor 21900, debtor 34800, discount received 1400, wages and salaries 105,000, general expenses 13000,stationary 4800, tem loan(received on 01/04/2014) 50,000. vat 17300. provision for bad debts 2500. Advertising 5700. insurance 9,000. loan interest paid 1,000. bank42,600. PRSI/USU 10,200. profit and loss balance 01/01/2014 65,000. you are given the following aditional information: stock for resale at 31/12/2014 was le 19,000. stationary paid in advance was le 1,200. provision should be made for interest due on loan. the rate of interest is 6%per annum. wages and salaries are to be divided 75%for employees and drawings. building 10% of cost. delivery van 10% of net book value. office equipment 20% of cost. provision for bad debts is to be adjusted to 10% of debtors . you are required to prepare a trading and profit and loss account for the year ended 31/ 12/2014. balance sheet as at 31/12/2014.​

Answers

Here is the trading and profit and loss account for the year ended 31/12/2014:

The Trading and Profit and Loss Account

For the year ended 31/12/2014

Particulars Amount

Sales €485,000

Less: Cost of Goods Sold €196,000

Gross Profit €289,000

Less: Expenses

- Wages and Salaries (75%) €78,750

- General Expenses €13,000

- Stationary €4,800

- VAT €17,300

- Provision for Bad Debts €3,480

- Advertising €5,700

- Insurance €9,000

- Loan Interest €600

- PRSI/USU €10,200

Net Profit €157,370

Here is the balance sheet as at 31/12/2014:

Balance Sheet

As at 31/12/2014

Assets Liabilities

Cash €42,600

Bank €1,200

Debtors €34,800

Stock €19,000

Capital €213,570

Drawings €10,700

Building €300,000

Office Equipment €15,000

Patent €24,000

Delivery Vans €49,000

Accumulated Depreciation €28,000

Provision for Bad Debts €3,730

Loan €50,000

Profit and Loss €157,370

Total €618,570

Total €618,570

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What is the master plan of a construction project called?

Answers

Answer:

Project Scheduling is known as construction project.

Explanation:

please mark as brainlist answers

The statement of cash flows is less influenced than the income statement by choices of accounting methods.

a. True
b. False

Answers

True the statement of cash flows is less influenced than the income statement by choices of accounting methods.

A cash flow is a physical or virtual movement of funds. In its strictest sense, a cash flow is a payment, especially from one central bank account to another; the term "cash flow" is typically used to describe. Cash flow from operations consists of expenses incurred during normal business operations. These cash outflows include things like rent, utilities, payroll, and cost of goods sold. Cash flow is referred to as the quantity of money coming into and going out of your firm over a specific time period. When business operations are very seasonal, cash outflows might vary significantly. Because it enables you to both meet your current financial responsibilities and make plans for the future, cash flow is crucial.

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Computing absorption costing gross profit
Refer to your answers to Short Exercise S21-6. Product X sells for $175 per unit. Assume no beginning inventories. Calculate the gross profit using absorption costing when Adamson:
a. Produces and sells 2,000 units.
b. Produces 2,500 units and sells 2,000 units
c. Produces 5,000 units and sells 2,000 units.

Answers

Answer:

a lot of information is missing, so I looked for a similar question that can help you understand this one:

Variable costs (including direct labor, direct materials and variable overhead) = $80 per units

Fixed overhead = $150,000

a) If Adamson produces 2,000 units, the total cost per unit = $80 + ($150,000 / 2,000) = $80 + $75 = $155

gross profit = total sales revenue - total cogs = (2,000 x $175) - (2,000 x $155) = $350,000 - $310,000 = $40,000

b) If Adamson produces 2,500 units, the total cost per unit = $80 + ($150,000 / 2,500) = $80 + $60 = $140

gross profit = total sales revenue - total cogs = (2,000 x $175) - (2,000 x $140) = $350,000 - $280,000 = $70,000

c)  If Adamson produces 5,000 units, the total cost per unit = $80 + ($150,000 / 5,000) = $80 + $30 = $110

gross profit = total sales revenue - total cogs = (2,000 x $175) - (2,000 x $110) = $350,000 - $220,000 = $130,000

A student is graduating from college in 18 months but will need a loan in the amount of $7,855 for the three remaining semesters. The student may either receive an unsubsidized or subsidized stafford loan. The terms of each loan are:.

Answers

$427.60 approx is the difference in the balance of the two loans at the time of graduation.

What does a loan simply mean?

A loan is a type of debt that a person or other entity incurs.The lender, which is typically a business, financial organization, or the government, lends the borrower some money.The borrower accepts a specific set of conditions in return, which may include any financial costs, interest, a repayment schedule, and other requirements.

What does the term "loan" mean in finance?

A loan is a mutual fund that enables a user the access a defined sum of cash at the beginning of the transaction on the understanding that this money, plus the agreed-upon interest, would be paid back within a given time frame.Loan repayment is made in recurring installments.

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. Based on precedence diagram given below, use the longest task time heuristic to balance the line. Cycle time = 1.3 minute\

What is the balance delay?

Out of all workers placed which worker is the happiest (has most remaining time)?

. Based on precedence diagram given below, use the longest task time heuristic to balance the line. Cycle

Answers

Balance delay time refers to the amount of downtime on manufacturing assembly lines caused by uneven job distribution across operators or stations.

What is balance delay?

The amount of downtime on manufacturing assembly lines brought on by uneven work distribution among operators or stations is known as balance delay time.

It has to do with how the overall task is divided up and to what extent.

The jobs are arranged according to decreasing processing times according to the longest processing time rule.

The biggest job that is currently available will start processing whenever a machine is released.

The minimum makespan of a schedule can be determined using this approach, which is a heuristic.

The operational time needed for that element plus the times for all items that must come after it equals the positional weight.

The elements are arranged according to their positional weights in descending order.

Therefore, balance delay time refers to the amount of downtime on manufacturing assembly lines caused by uneven job distribution across operators or stations.

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Correct question:

What is balance delay?

Douglas Whipple Corporation needs $200 million to expand its production and to develop new products. It has agreed to issue written pledges that it will repay a specified amount of money with interest on a particular day. Because it is uncertain it will have sufficient funds available if all of the pledges should become due on the same day, none of the pledges will be paid during the first 15 years. After 15 years, 10 percent of the pledges will mature each year until all of them are retired at the end of the 25th year. What are the pledges?

Answers

Note that the pledges here are serial bonds. (Option C). A serial bond is a type of bond that matures in installments over a specified period of time, rather than all at once.

What is a Serial Bond?

In the scenario described, the Douglas Whipple Corporation has agreed to issue written pledges to repay a specified amount of money with interest on a particular day.

These pledges will not be paid for the first 15 years, after which 10 percent will mature each year until all of them are retired at the end of the 25th year. This indicates that the pledges are serial bonds, which mature in installments over a period of time.

Registered bonds and term-loan agreements are not the correct answers because they do not fit the description of the pledges in the scenario.

Registered bonds are bonds that are registered in the name of the owner, and term-loan agreements are contracts between a borrower and a lender that outline the terms of a loan.

Bond indentures are contracts that outline the terms and conditions of a bond, but they do not specify the type of bond being issued.

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Full Question:

Douglas Whipple Corporation needs $200 million to expand its production and to develop new products. Is has agreed to issue written pledges that it will repay a specified amount of money with interest on a particular day. Because it is uncertain it will have sufficient funds available if all of the pledges should become due on the same day, none of the pledges will be paid during the first 15 years. After 15 years, 10 percent of the pledges will mature each year until all of them are retired at the end of the 25th year. What are the pledges?

A. Registered bonds

B. Term-loan agreements

C. Serial bonds

D. Bond indentures

NBM common stock recently paid annual dividend in the amount of $2.25 per share. The analyst’s estimate of the firm’s growth forecast over the next 4 years is 18.00% and over 3 years after that of 16.5%. You expect the firm to slow down in the long run and estimate the long-term growth rate after 7 years to be 6.5%. If the required rate of return on the stock is 11%, what is your estimate of the stock price?

Answers

Using the dividend discount model with given growth rates and required rate of return, the estimated stock price for NBM common stock is calculated by discounting future dividends, resulting in the stock price.

To estimate the stock price of NBM common stock, we can use the dividend discount model (DDM) which calculates the present value of future dividends.

First, let's calculate the dividends for the next 7 years:

Year 1: $2.25 (given)

Year 2: $2.25 * (1 + 18%) = $2.655

Year 3: $2.655 * (1 + 18%) = $3.1399

Year 4: $3.1399 * (1 + 18%) = $3.7029

Year 5: $3.7029 * (1 + 16.5%) = $4.3177

Year 6: $4.3177 * (1 + 16.5%) = $5.0273

Year 7: $5.0273 * (1 + 6.5%) = $5.3485

Next, let's calculate the present value of these dividends using the required rate of return of 11%:

PV = D1 / (1 + r) + D2 / (1 + r)^2 + ... + D7 / (1 + r)^7

PV = $2.25 / (1 + 0.11) + $2.655 / (1 + 0.11)^2 + $3.1399 / (1 + 0.11)^3 + $3.7029 / (1 + 0.11)^4 + $4.3177 / (1 + 0.11)^5 + $5.0273 / (1 + 0.11)^6 + $5.3485 / (1 + 0.11)^7

Finally, summing up the present values, we can estimate the stock price:

Stock Price = PV

Calculating this equation will give the estimated stock price of NBM common stock.

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20 points pls help
Individuals you list on your job application who are willing to be contacted by your potential employer regarding your character and work ethic are referred to as _____.

acquaintances
character witnesses
references
employers

Answers

References is the answer, you usually put them in a CV

Answer:

References

Explanation:

These are people you will want to contact before your interview to let them know they might be contacted by the business today. As well as people you send thank you notes to or thank you "texts" nowadays

You can earn 3% interest on a CD and 1.25% interest on a savings account.
How much more interest will the CD earn for one year if you make a deposit of
$1,650?



Financial Lit, please help!!

Answers

Answer:

The CD will earn $49.50 more interest than the savings account for one year if you make a deposit of $1,650.

While Peloton has had a surge in subscriptions due to the COVID-19 pandemic, what are your long-term expectations for this company’s success? Would you buy stock in Peloton? Explain

Answers

Peloton has undoubtedly benefited from the pandemic as more people shifted to at-home workouts, and the company's subscriptions surged as a result.

However, Peloton's success in the long term will depend on various factors, including competition, innovation, and market demand.

What challenges may face Peloton?

Peloton faces significant competition in the at-home fitness market, with established players like NordicTrack, ProForm, and SoulCycle, as well as new entrants like Apple Fitness+. The competition will likely become more intense as the at-home fitness market grows.

To continue its success, Peloton will need to continue innovating and expanding its offerings to attract and retain customers. Peloton has already expanded beyond its core cycling products and now offers strength training, yoga, and other classes. Still, the company will need to stay ahead of the curve in terms of technology, content, and delivery methods.

Market demand is another crucial factor in Peloton's long-term success. While the pandemic has created a surge in demand for at-home fitness, it remains to be seen whether this trend will continue once the pandemic is over.

In conclusion, while Peloton has had significant success in recent years, its long-term success will depend on several factors. Investors should carefully consider these factors before making a decision on whether to invest in the company.

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improving your credit score will let lower interest rates on loans true or false

Answers

The statement "Improving your credit score can indeed lead to lower interest rates on loans" is true.

Your credit score is a numerical representation of your creditworthiness, and lenders use it to assess the risk of lending money to you. A higher credit score indicates that you have a history of responsible borrowing and are more likely to repay your debts on time.

When you have a good credit score, lenders perceive you as a lower-risk borrower, and they are more willing to offer you favorable terms, including lower interest rates on loans. Lower interest rates mean you will pay less in interest over the life of the loan, resulting in potential savings.

On the other hand, if you have a lower credit score, lenders may see you as a higher-risk borrower and may offer loans with higher interest rates to compensate for the increased risk they perceive. Higher interest rates can make borrowing more expensive and increase the overall cost of the loan.

By improving your credit score, you demonstrate your creditworthiness and financial responsibility. This can give you leverage to negotiate better terms, including lower interest rates, when seeking loans such as mortgages, auto loans, personal loans, or credit cards.

It's important to note that while a good credit score can improve your chances of getting lower interest rates, other factors such as income, debt-to-income ratio, and loan term also influence the interest rate offered by lenders. However, a higher credit score generally increases your likelihood of qualifying for lower interest rates on loans.

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When you draw Refine marks, the lines essentially indicate __________ to keep or remove in the background.

Answers

Answer:

Colors

Explanation:

At a price of $300, a cell phone company manufactures 150000 phones. At a price of $400, the company produces 350000 phones. What is the price elasticity of supply?

Answers

875 for the 400 one and 500 for the other it’s division divide 150000 by 300

Andrew purchased a stock for $250 and sold it for $175 one year later. If he earned a dividend income of $180, the stock's yield is:

Answers

Answer:

the answer is 605$ that Math

[The following information applies to the questions displayed below.]


On January 1, 2024, Splash City issues $320,000 of 8% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year.

Assuming the market interest rate on the issue date is 9%, the bonds will issue at $293,938.

2. Record the bond issue on January 1, 2024, and the first two semiannual interest payments on June 30, 2024, and December 31, 2024.

(Interest Expense does not equal 12800)

Answers

To record the bond issue on January 1, 2024, and the first two semiannual interest payments on June 30, 2024, and December 31, 2024, we need to consider the issuance of the bonds and the accrual of interest expense.

1. Bond Issue on January 1, 2024:

  Date         Account                Debit        Credit

  --------------------------------------------------------

  January 1, 2024   Cash                     $293,938

                                     Bonds Payable                $320,000

  To record the issuance of $320,000 face value bonds at a discounted price of $293,938.

2. Semiannual Interest Payment on June 30, 2024:

  Date         Account                Debit        Credit

  --------------------------------------------------------

  June 30, 2024      Interest Expense    $14,400

                                  Cash                       $14,400

  To record the semiannual interest payment ($320,000 * 8% / 2 = $12,800) for the period from January 1, 2024, to June 30, 2024.

3. Semiannual Interest Payment on December 31, 2024:

  Date         Account                Debit        Credit

  --------------------------------------------------------

  December 31, 2024   Interest Expense    $14,400

                                      Cash                       $14,400

  To record the semiannual interest payment ($320,000 * 8% / 2 = $12,800) for the period from July 1, 2024, to December 31, 2024.

Please note that the interest expense amount mentioned in the question might be incorrect. Based on the information provided, the interest expense should be $12,800 for each semiannual interest payment, resulting in a total of $25,600 for the year 2024.

Which Airlines lounges are the best ?

Answers

1. Air France first class lounge Paris (CDG)
Reason:
Air France’s first class is the whole package. Not only does Air France offer one of the world’s best first class inflight products, but the carrier’s ground experience in Paris is equally impressive.

If you’re connecting in Paris, you’ll be picked up at your plane and driven to the first class lounge, and then later on will be driven from the first class lounge to your connecting flight.


There’s so much to love about the Air France first class lounge, though my favorite thing is probably the restaurant, which has an Alain Ducasse menu. In my experience it’s the best food offered in any airline lounge in the world. It’s not just that the food quality is excellent, but the service and presentation are equally good.
Hopefully this helps!

Answer:

Air France La Première Lounge, Paris is the first best Airline lounge in the World.

Explanation:

The Air France La Première Lounge gives its customer one of the fashionable flying experiences in the world, as it includes freshening up the cozy cocktail bar to be brighter and more inviting, adding semi-private relaxation areas and installing new pieces of art.

In addition to having one of the best first class inflight experiences available, Air France also provides an outstanding ground experience in Paris. Best food is also offered at the restaurant there.

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What are three ways to increase productivity?

Answers

are there specific answers you have to give or is it your opinion? sorry if that doesn’t make sense lol

Consider the following BPMN diagram:

Consider the following BPMN diagram:
Consider the following BPMN diagram:

Answers

If we look at the process model, we can see that Task A is the first task and must always be completed in order for the model to be run. Further observation reveals that because an exclusive gateway is employed, any of the two jobs, B and C, is carried out individually rather than simultaneously. As we continue to move through the BPMN diagram, we see that task M is the conversing task and is therefore always run along with a networks message flow from it to task F, which is done as soon as a message is received in pool 2 and finishes.

An item of networking hardware or software called a gateway is used in telecommunications networks to allow data to go from one distinct network to another.

The way that gateway differ from routers and switches is that they can join various networks using more than one protocol to communicate and that they can function at any of the seven OSI levels.

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what are 2 different types of budgets and discuss how they complement each other?

Answers

There are two main types of budgets: operational budgets and financial budgets.

Operational budgets are used to plan and monitor the day-to-day operations of a business, and typically cover a period of one year. These budgets include items such as revenue projections, production costs, and operating expenses. Operational budgets are crucial for ensuring that a business stays on track and meets its operational goals. Financial budgets, on the other hand, are focused on the long-term financial health of a business. They include items such as capital expenditures, financing costs, and cash flow projections. Financial budgets are used to help businesses plan for the future and make strategic decisions about investments and growth. These two types of budgets complement each other by providing a comprehensive view of a business's operations and financial health. Operational budgets help to ensure that day-to-day activities are aligned with the overall goals of the business, while financial budgets provide a roadmap for achieving long-term success. By using both types of budgets, businesses can make informed decisions about resource allocation, identify potential risks, and maintain a strong financial position over the long term.

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The national average interest rate for Savings Account is 0.13%. Calculate the time it will take to you double your money based up on the following scenarios: ● You’re getting a 0.05% interest rate and currently have $1,000 in your account. ● You’re getting 0.49% interest rate and currently have $40,000 in your account. ● You’re getting 0.8% interest rate and currently have $500 in your account.

Answers

Answer:

1) 1387 Years

2) 142 Years

3) 87 Years

Explanation:

7
What is an advantage to using a multi-step income statement?
The fixed costs and variable costs are broken out separately
Direct expenses and indirect expenses are broken out separately
Net Income is shown before income taxes
All income items are grouped in on section, and all expenses in another

Answers

Answer: A major benefit of a multi-step income statement is the demonstration of gross profit. This allows you to see how much the company is earning on sales before operating income is considered. Seeing detailed gross profit also allows you to calculate gross margin, which is gross profit divided by sales.

Explanation:

Who will be the first Trillonare in this world ?

Answers

The person who is expected to become the first Trillionaire is Jeff Bezos, founder, and CEO of Amazon.

According to a study conducted by Comparison, Jeff Bezos could become the world’s first Trillionaire by the year 2026. This prediction was made on the basis of the average percentage of growth of Bezos’ net worth over the last five years. The study also highlighted that Bezos’ wealth has grown by an average of 34% over the last five years. At this rate of growth, his net worth could reach $1 trillion by the year 2026.

However, the current COVID-19 pandemic has had a negative impact on the economy, and Bezos’ net worth has already decreased by over $20 billion since the start of the pandemic. Despite this, it is still possible that Bezos may become the world’s first Trillionaire in the future, but there are also other contenders who could reach this milestone, such as Elon Musk, CEO of Tesla and SpaceX. However, as of now, there is no confirmed Trillionaire in the world.

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You just acquired 1,000 from the lottery.
You decide to invest in stocks with it (like a smart person should). You figure on buying apple stock which costs $100 a share. How many shares would you own of apple if you bought $1,000 worth of apple stock at $100 a share.

Answers

If you bought $1,000 worth of Apple stock at $100 per share, you would own 10 shares of Apple stock.

To determine the number of shares you would own of Apple stock if you bought $1,000 worth of stock at $100 per share, you need to divide the total investment amount by the price per share.

Number of shares = Total investment amount / Price per share

In this case, the total investment amount is $1,000 and the price per share is $100.

Number of shares = $1,000 / $100

= 10 shares

Therefore, if you bought $1,000 worth of Apple stock at $100 per share, you would own 10 shares of Apple stock.

It's important to note that stock prices fluctuate, so the actual number of shares you would own may vary depending on the current market price at the time of purchase. Additionally, transaction fees and other costs associated with buying stocks should also be taken into consideration.

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Mazu Mavuso is a 43-year-old South African resident who was employed by Veg & Fruit Limited, a South African company, until 30 November 2022. On 30 November 2022, Veg & Fruit Limited ceased its operations and the pension fund that Veg & Fruit Limited established for its employees also closed down. The Veg & Fruit Limited pension fund paid out R80 000 to Mazu Mavuso during the 2023 year of assessment. All Mazu Mavuso's pension fund contributions have been deducted in the determination of his taxable Income. Mazu Mavuso also decided to join a retirement annuity fund, to which he made a total contribution of R7 000 during the 2023 year of assessment. For the 2023 year of assessment, Mazu Mavuzo's receipts and expenses were as follow: Salary Director's fees earned Local dividends from South African companies Local interest from a non 'tax free investment' Pension fund contributions at 6.5% of his salary Retirement annuity fund contributions Qualifying medical expenses paid Donation to a qualifying section 18A Public Benefit Organisation R 720 000 110 000 45 000 24 500 ? 7 000 61 630 6 000 Calculate Mazu Mavuso’s taxable income for the 2023 year of assessment. (25 marks) 1.2) Calculate Mazu Mavuso’s total normal tax liability for the 2023 year of assessment. Assume that Mazu Mavuso had a taxable income of: • R770 900 before any retirement fund lump sum withdrawal benefits. • R843 900 after any retirement fund lump sum withdrawal benefits. (17 marks) Competency Framework Reference: E1.2 Interpretation of tax legislation b) Demonstrate the ability to apply the principles of tax interpretation to any new or unfamiliar tax legislation. E1.3 Application of tax legislation to calculate tax obligation a) Analyse the taxpayer’s tax profile. c) Apply the relevant law to the facts, determine the tax position and compute the tax payable (VAT or normal tax) for individuals and companies.​

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Explain the meaning of environmental scanning. Illustrate with examples the
relevance of technological, political, economic, social, and regulatory environments
in the context of marketing strategy. How managers are involved in environmental
scanning?

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Environmental scanning refers to the process of gathering and analyzing information about the external factors that can impact an organization's business environment.

Technological factors include advancements in technology, such as the rise of e-commerce, mobile applications, or automation, which can create new marketing channels or change consumer behaviors.

Political factors encompass government policies, regulations, and political stability that can impact marketing strategies. For example, changes in trade policies or regulations related to data privacy can influence international marketing activities.

Economic factors include economic conditions, such as inflation rates, exchange rates, or consumer purchasing power, which can affect consumer behavior and demand for products or services.

Social factors refer to societal trends, cultural norms, and consumer preferences that can influence marketing strategies. For instance, shifts in consumer values towards sustainability or increased focus on health and wellness can shape product development and advertising campaigns.

Regulatory factors involve laws and regulations that organizations must comply with, such as consumer protection laws or industry-specific regulations. These can impact marketing activities, advertising content, or product labeling.

Managers play a crucial role in environmental scanning. They are responsible for monitoring and analyzing the external environment, identifying relevant trends and potential opportunities, and making informed decisions based on the insights gained.

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