A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adult Long Trail, the adult Cityscape, the girl's Sea Sprite, and the boy's Trail Blazer. It is assumed that every bike ordered will be sold, and their profits, respectively, are 30, 25, 22, and 20. The LP model should maximize profit. There are several conditions that the store needs to worry about. One of these is space to hold the inventory. An adult's bike needs two feet, but a child's bike needs only one foot. The store has 500 feet of space. There are 1200 hours of assembly time available. The child's bike need 4 hours of assembly time; the Long Trail needs 5 hours and the Cityscape needs 6 hours. The store would like to place an order for at least 275 bikes.If the profit on the Cityscape increases to $35, will any of the Cityscape bikes be ordered?

Answers

Answer 1

To model the problem as an LP model, we need to define decision variables, objective function, and constraints.

Let's start by formulating the LP model for this issue. x1 is the quantity of adult Long Trail bicycles ordered.

x2 is the quantity of adult Cityscape bicycles ordered. Ordered Sea Sprite motorcycles for girls, multiplied by three

Ordered boy's Trail Blazer bikes multiplied by four

Profit maximisation is the objective function, which is: 30x1 + 25x2 + 22x3 + 20x4 The limitations are: Space limitation: 500 2x1 + 2x2 + 3 + 4

Time limit for assembly: 5x1 + 6x2 + 4x3 = 1200

Demand Restriction: 275 x1 + x2 + x3 + x4

Using the updated profit on the Cityscape bike, we can solve this LP model to get the solution to the query: 30x1 + 35x2 + 22x3 + 20x4

The same limitations apply as previously. To solve the LP model and identify the best solution, we can employ a solver or a graphical approach.

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Related Questions

What is the variable cost of a business if its fixed cost is $8900 and its total costs are $14,000?

Answers

The variable cost of the business is $5,100.

How to determine the variable cost

To determine the variable cost of a business, we need to use the formula:

Total cost = Fixed cost + Variable cost

We can rearrange this formula to solve for the variable cost:

Variable cost = Total cost - Fixed cost

Substituting the given values, we get:

Variable cost = $14,000 - $8,900

Variable cost = $5,100

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Answer:

The company's variable cost is $5,100.

Explanation:

As regional manager of a dollar store chain, kamile compares weekly sales reports from each store with projected sales goals and then takes corrective action if needed. Which of the four key management functions is kamile using?.

Answers

Answer:controlling

Explanation:

An increase in a firm's total asset turnover will Blank______ the sustainable growth rate. Multiple choice question. destabilize increase decrease

Answers

An increase in a firm's total asset turnover will Blank increase the sustainable growth rate. Hence, option B. increase is the answer. Read below about firm's total asset turnover.

What is firm's total asset turnover?

The asset turnover ratio measures how positively an organisation employs its assets to generate revenue or sales. The ratio compares the amount of sales or revenues to the company's total assets to measure the efficiency of the company's operations.

Therefore, the correct answer is increase.

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an investor is close to retirement and wants a short-term, low-risky investment with low liquidity. which investment meets these requirements?

Answers

The investment that meets these requirement is : Treasury bills

What are Treasury Bills ?

A low risky investment with low liquidity and can be held for a short term is Treasury bills are one of the safest investments that can held for a short period ( A few days to 52 weeks ),They are better investment opportunities for investors close to their retirement.

Treasury bills have low returns on investment when compared to other investments.

Hence we can conclude that The investment that meets these requirement is : Treasury bills

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How are accrued salaries recorded?

Answers

Accrued salaries are recorded as liabilities. Accrued salaries refer to the salaries earned by employees but not yet paid by the employer.

Companies must record these salaries as a liability on their balance sheet. This is because the company is legally obligated to pay the salaries to the employees, even if they have not yet been paid.

Accrued salaries are recorded when the work has been performed and the salaries are due, but the payment has not yet been made.

Accrued salaries are typically reported as a current liability on the balance sheet, and the amount is reported as an expense in the income statement.

Accrued salaries must be paid on time and in full to prevent any potential legal issues.

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MARK MORE THAN ONE PLS!!!!!!!! HELP!!!!
Where can you look to find marketing materials from competitors to learn about their products? Mark all that apply.
A. TV Advertisements
B. Social Media
C. Sales flyer
D. The radio

Answers

the answer is A and B

conservationists tend to believe that resources should be saved because they are important for a strong economic system.

Answers

Conservationists tend to believe that resources should be saved because they are important for a strong economic system and used by all living things

Who is a Conservationist?The conservation movement also referred to as nature conservation, is a political, environmental, and social movement that works to manage and safeguard natural resources, including animal, plant, and fungal species as well as their habitat, for the benefit of present and future generations.Environmental conservationists strive to leave the environment in better shape than when they found it. Data-based conservation aims to increase the efficacy of conservation activities by utilizing credible scientific evidence.To preserve natural resources including fisheries, wildlife management, water, soil, conservation, and sustainable forestry, the early conservation movement developed out of necessity.The modern conservation movement now includes biodiversity preservation in addition to the early movement's focus on the sustainable use of natural resources and the protection of wilderness regions.

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when developing new products, it takes about seven new to generate one new commercial product.

Answers

When developing new products, it typically takes about seven new ideas to generate one successful commercial product. This is because the product development process involves a series of stages, including ideation, research, design, testing, and refining.

Developing new products can be a time-consuming and expensive process, which is why it's important to have a solid understanding of the market and customer needs before investing in new product development. It's not uncommon for companies to have to develop several prototypes or iterations of a product before it's ready for commercialization.

The ratio of seven new products to one commercial product is not uncommon and can vary depending on the industry, product complexity, and level of innovation involved. The process of developing new products typically involves ideation, concept testing, prototyping, and testing with potential customers before launching a commercial product. Each stage can involve multiple iterations and adjustments, which can add to the timeline and cost of product development.

To increase the likelihood of success in new product development, it's important to conduct market research and gather customer feedback early on in the process. This can help to identify potential gaps in the market and ensure that the final product meets customer needs and preferences. Additionally, having a clear product development process in place can help to streamline the process and reduce the number of unsuccessful product iterations.

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Answer:

ideas

Explanation:

Suppose Phil and Miss Kay are the only consumers in the market. If the price is $6, then the market quantity demanded is

Answers

The number of units that the market wants is two.

Market quantity demanded is the amount of a specific good that customers have placed on the market and is inversely correlated with the cost of the good.

Given that the quantity of the commodity desired is inversely correlated with the price of the commodity, it follows that as the price of the commodity rises, the quantity of the commodity will decrease. The graph of this is negatively sloped as a result.

The only shoppers at the store are Phil and Miss Kay. Therefore, 2 units are needed to meet market demand.

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What are inferior goods in business?​

Answers

Answer:

Inferior goods are goods that are bought less as income of buyers increase.

Explanation:

In business, inferior goods can be described as goods that experience declines in their demand or sale when the income of buyers or consumers increase.

This implies that there is a negative relationship between the demand of inferior goods and the income of the buyers.

Put in another way, inferiors goods are the more affordable substitutes for goods that are expensive when the income of the consumers fall.

Write a generalization about the relationship between price and the quantity supplied

Answers

Answer:

PRICE CHANGES

Price and quantity supplied are directly related. As price goes down, the quantity supplied decreases; as the price goes up, quantity supplied increases. Price changes cause changes in quantity supplied represented by movements along the supply curve.

individuals in different segments should have ______ within the segment and ______ across the segments.

Answers

Answer:

similarities; differences Is correct answer

Explanation:

individuals in different segments should have similarities within the segment and differences across the segments.

(Hope this helps can I pls have brainlist (crown)☺️)

In july, lane co. Sells merchandise to avery co. On account. In august, avery pays the balance in full. The entry that lane will make to record the receipt of cash will include a credit to the _______ account.

Answers

The entry that lane will make to record the receipt of cash will include a credit to the Accounts Receivable account.

What is Accounts Receivable?

Accounts Receivable is the amount, which a company will receive from its customers who have purchased its goods & services on credit.

It refers to the money that the customer owe to the company for the goods or services that they have already received but not yet paid for.

For example- Goods purchase on credit by ABC, the amount gets added to the accounts receivable.

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Bonnie claims single with 2 federal withholding allowances, and contributes state tax of 20% of her federal tax. Below is a copy of Bonnie's biweekly statement of earnings. Bonnie knows that her gross earnings and federal tax are correct, but she thinks that her net pay is not correct. Using the fact that Social Security is 6.2% and Medicare is 1.45% of gross pay, explain why the given net pay is not correct. Determine how the error can be corrected, and what the net pay should be.

Answers

Answer:

The given net pay is not correct because Medicare is not 1.45% of her gross pay. The Medicare should be $11.02, making the correct net pay $641.86.

Answer:

The amount of Medicare tax has been calculated incorrectly. The Medicare tax should be $11.02, not $110.20. The actual net pay should be $641.86.

Explanation:

From Ed. :)

What is it called whenever there
is no shortage or surplus in the
market?

Answers

Answer:

Equilibrium

Explanation:

The supply of material meets the demand (intersect) of the people

Answer:

It is called a market equilibrium or equilibrium I believe.

Explanation:

This should be the answer you're looking for.

Good luck on whatever it is you're working on!

In times of peak demand, service
marketers may need to consider de.
marketing. What strategies can be
used to reduce demand for a night
club?

Answers

During times of peak demand, service marketers may need to consider de-marketing, which involves reducing demand for a product or service. In the case of a night club, there are several strategies that can be used to achieve this:

1. Adjust pricing: Increase ticket prices during peak demand to discourage attendance and manage crowd size. This can be done through tiered pricing or implementing cover charges.
2. Implement reservation systems: By requiring customers to make reservations in advance, the club can control the number of attendees and avoid overcrowding.
3. Limit access: Restrict entry to members or VIP guests only, which can reduce demand from the general public.
4. Time-limited promotions: Offer discounted entry or drink specials during off-peak hours to incentivize customers to visit at less busy times.
5. Collaborate with other venues: Partner with nearby businesses to offer joint promotions or events, diverting some demand away from the night club.
6. Advertise alternative options: Promote alternative entertainment options during peak times, such as live music events or themed parties, which can help spread demand across different venues.
By implementing these strategies, service marketers can effectively reduce demand for a night club during peak periods. This can help maintain a safe and enjoyable experience for customers while optimizing revenue for the business.

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Which career pathway in the Architecture and Construction career cluster tend to require more physical strength? Maintenance/Operations and Construction Design and Pre-Construction Pre-Construction and Construction Maintenance and Design

Answers

Answer:

Pre-Construction and Construction

Explanation:

I think it's right.

Answer:

C

Explanation:

who would not have to file a u-4 registration application as an investment adviser representative with the state?

Answers

A director of the investment advisory firm who does not have any sales responsibility not have to file a u-4 registration application as an investment adviser representative with the state.

.What does U4 registration mean?

The Uniform Application for Securities Industry Registration or Transfer, or Form U4, is what this phrase refers to. For the purpose of registering with the relevant authorities and/or SROs, representatives of broker-dealers, investment advisers, or securities issuers must use this form. Broker-dealers who are FINRA members are required to file Forms U4 on behalf of prospective related persons in accordance with FINRA Rule 1013. A FINRA ruling is typically delivered within two to three weeks. If Tina fills out the form with false or insufficient information, the process can take longer. Tina begins filling out her online U4 form after Jason gives a brief summary of the form.

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mr. steele is speaking to a group of accountants about new tax laws. he presents numerous verifiable facts dealing with tax laws. some people realize that all his statistics come from extremely politically liberal publications that interpret all the facts in a similar way. mr. steele's evidence lacks

Answers

Mr. Steele is speaking to a group of accountants about new tax laws. He presents numerous verifiable facts dealing with tax laws. Mr. Steele's evidence lacks objectivity. Option A

This is further explained below.

What are tax laws?

Generally, Tax law, often known as a revenue law, is a subfield of public law that examines how public or sanctioned authorities, such as national, state, and local governments, use a set of rules and processes to calculate and collect taxes within the parameters of the law.

In conclusion, New tax regulations are being discussed during Mr. Steele's presentation to a room full of accountants. He gives a variety of facts that may be independently verified that are related to tax legislation. The evidence presented by Mr. Steele is not objective. Alternative A

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CQ

Mr. Steele is speaking to a group of accountants about new tax laws. He presents numerous verifiable facts dealing with tax laws. Some people realize that all his statistics come from extremely politically liberal publications that interpret all the facts in a similar way. Mr. Steele's evidence lacks

A. objectivity.

B. relevancy.

C. accuracy.

D. sufficiency.

assuming an upward-sloping aggregate supply curve, when aggregate demand decreases, unemployment

Answers

When aggregate demand decreases with an upward-sloping aggregate supply curve, unemployment increases.

As aggregate demand decreases, it leads to a lower equilibrium level of output and employment. Businesses experience a decline in sales and revenues, causing them to cut back on production.

To reduce production, companies may lay off workers or decrease working hours, leading to an increase in unemployment.

Additionally, the reduced demand for goods and services means fewer job opportunities are available for those seeking employment. This chain of events contributes to a rise in unemployment rates when aggregate demand decreases in the presence of an upward-sloping aggregate supply curve.

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Explain,using PED,why a company might introduce a policy of raising travel fares at peak times and lowering travel fares at non peak time ?

Answers

Using Price Elasticity of demand or (PED) a company might introduce a policy of raising travel fares at peak times because :-

Understanding the 'elasticity of demand' that is pertinent in this situation. Applying price elasticity of demand demonstrates the relationship between the impact of raising fares during busy periods and changes in total revenue, as well as the impact of reducing fares during less busy periods and changes in total revenue.

The quantity demanded of a good or service divided by the percentage change in price is the price elasticity of demand. The percentage change in quantity supplied divided by the percentage change in price represents the price elasticity of supply.

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Which of these are benefits of a job as the term is used in this lesson? (1
O a high hourly wage
O an office in a great neighborhood
O working for a good cause
O a 401(k) plan

Answers

Answer:

high Hourly wage

Explanation:

Answer:

D. a 401(k) plan

Explanation:

If the interest rate is 6%, which of these investments would you prefer? A) A payment of $342.17 today
B) A payment of $40 a year for 20 years starting in one years time C) A single payment of $500 in year 3. D) A perpetuity of S30 a year starting in one year's time.

Answers

Comparing the PVs, Option D with a PV of $500 is the most preferable investment at a 6% interest rate.To determine which investment option is preferable with a 6% interest rate, we need to calculate the present value (PV) of each option.

A) The PV of $342.17 today is already $342.17, as there's no waiting period.

B) To calculate the PV of $40/year for 20 years starting in one year, we use the annuity formula:
PV = P * [(1 - (1 + r)^-n) / r]
PV = 40 * [(1 - (1 + 0.06)^-20) / 0.06] ≈ $477.43

C) The PV of a $500 payment in year 3 is calculated using the discounting formula:
PV = FV / (1 + r)^n
PV = 500 / (1 + 0.06)^3 ≈ $421.25

D) For a perpetuity of $30/year starting in one year, we use the perpetuity formula:
PV = P / r
PV = 30 / 0.06 ≈ $500

The best investment option would depend on the individual's financial goals and time horizon. If the investor needs immediate cash, option A would be the best choice as it provides a lump sum payment upfront. Option B may be suitable for someone looking for a consistent stream of income over a longer period. Option C provides a single lump sum payment, which may be beneficial for someone with a specific financial goal in mind for the future. Option D, a perpetuity, is a consistent stream of income that will continue indefinitely, which may be attractive for someone looking for a reliable source of income in the long-term. Ultimately, the decision would depend on the individual's personal circumstances and financial objectives.
.

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if the initial purchase of the bonds was completed between interest dates, the journal entry to record the purchase would include a

Answers

The initial payment will include the interest.Therefore, as part of the entry, the amount of the interest will indeed be credited to Interest Receivable.

How do you describe an initial payment?

The initial payment is the sum that the buyer must pay in accordance with the seller-assisted marketing plan contract before to or at the moment of delivery of the supplies, goods, or services, or within six months of the buyer starting the seller-assisted marketing plan's operations.

How is marketing conducted out?

It is known as the "value stream" when it comes to creating, transmitting, delivering, and exchanging products and services that are beneficial to customers, clients, business associates, and society at large.

Complete Question:The journal entry to reflect the original bond purchase would comprise the following transactions:

a)credit to Interest Payable,

b)debit to Interest Income,

c)debit to Interest Receivable, and

d)credit to Interest Receivable.

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When comparing the various kinds of relationship marketing, we can say that _______.

Answers

When comparing the various kinds of relationship marketing, we can say that the customization level is more developed than the social level.

Customer relationship management (CRM) includes relationship marketing, which puts long-term engagement and client loyalty ahead of short-term goals like customer acquisition and individual sales.

Relationship marketing, also known as customer relationship marketing, tries to build strong, even emotional connections with customers that could lead to repeat business, unpaid word-of-mouth promotion, and customer information that could generate leads.

Relationship marketing contrasts with the more traditional transactional marketing approach, which is focused on increasing the amount of individual transactions. Under the transactional model, the return on client acquisition expenditures could not be enough.

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Write a scenario that will help you understand the following word or topic and show me that you understand their importance.

Criticism - is the practice of judging the merits and faults of something. Criticism as an
evaluative or corrective exercise can occur in any area of human life. In specific areas of
human endeavor, the form of criticism can be highly specialized and technical; it often requires professional knowledge to understand the criticism.

Answers

Criticism is the practice of judging the merits and faults of something. Criticism as an evaluative or corrective exercise can occur in any area of human life.

Write a scenario that will help you understand criticism?

You are a film director and your latest film has just been released. You're excited to see what people think of your work, but when you read the reviews, you are met with a lot of criticism. Some reviewers claim the acting was lackluster, others say the plot was confusing, and a few even say that the special effects were underwhelming.

At first, you feel disheartened and defensive. But after some reflection, you realize that criticism can be a valuable tool for growth and improvement. You start to take the criticism seriously and use it to inform your future work. You work on improving your acting direction, make sure that your plots are clearer, and pay more attention to the special effects.

A year later, you release a new film and it is met with widespread praise. Critics call it a major improvement over your previous work and praise the acting, plot, and special effects. You realize that criticism is an important part of the creative process and can help you become a better filmmaker.

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Mrs. Adams owned an income property with an adjusted cost basis of $160,000 and a fair market value of $240,000. She exchanged the property for another income property which had a fair market value of $230,000. Both properties had no loans against them and no adjustment was made for the differences in value. For federal income tax purposes, the new property will have a basis for Mrs. Johnson of:

Answers

Answer:

$160,000

Explanation:

Based on the information given For FEDERAL INCOME TAX PURPOSES, the NEW PROPERTY will have a BASIS for Mrs. Johnson of:$160,000

reason been that Adams owned an income property with an ADJUSTED COST BASIS of the amount of $160,000 and secondly the COST BASIS of the property that was traded will be the COST BASIS for the property that was acquired assuming NO ANY adjustment was made for differences in value.

Which of the following advances in manufacturing is at the heart of the processes that transform raw materials into products?

automation
nanotechnology
assembly line
matrix

Answers

Answer:

Assembly line

Explanation:

Why does the US import oil?

A.because it has exported too much oil
B.because it does not produce any oil
C.because it does not produce enough oil
D.because it has exported too little oil


Answers

Answer:

C. because it does not produce enough oil.

Explanation:

Although, the United States is one of the leading producers of oil, yet still import oil because it does not produce enough oil to meet the demand of its citizens. In other words, the United States consumes more than what she can produce.

Another reason is that most refineries in the United State are created basically for heavy crude whereas most of what she produce are light crude oil. The United States import the oil she is able to process while she export to other countries to complete the setup process.

The remedy to the above situation is when new refineries are built which are somewhat expensive or the existing refineries are upgraded to meet with the demand.

Answer:

D. Because it does not produce enough oil.

edg 2020.

how can i get financing for my self storage business how to start a self storage business

Answers

Answer:

there are a ton of programs that will fund small buisnesses but in the meantime while waiting for that to happen you could get a part time job and save all your money for the buisness or you can hussle i recomend looking into marketplace flipping it is a great way to make quick cash if your good at it  

Explanation:

Other Questions
a. 5.95g of cobalt (II) carbonate were added to 40 mL of hydrochloric acid with a concentration of 2.0M b. Calculate the maximum yield of cobalt (II) Chloride-6- water and show that the cobalt (II) carbonate was in excess. 1. CoCO3 + 2 HCl COCl2 + CO2 + H2O 2. COCl2 + 6H2O COCl2 6H2O ii. Maximum yield: iii. Number of moles of HCl used: iv. Number of moles CoCl2 formed: v. Number of moles COCl2 6H2O formed: vi. Mass of one mole of COCl2 6H2O =238g vii. Maximum yield of COCl2 6H2O = viii. Showing that cobalt (II) carbonate is in excess: ix. Number of moles of HCl used: x. Mass of one mole of CoCO3= 119g xi. Number of moles of CoCO3 in 5.95 g of cobalt (II) carbonate= xii. Explain how these calculations show that cobalt (II) carbonate is in excess. what is an advantage of a computer billing system related to posting payments which ones are arithmetic or geometric ? F-1(x)=xIs it a function Organizational culture can be better understood by considering an organization's symbols, rituals, and language.True / False Case study of Global supply management course -You are a recent grad form the International Business Managementprogram and have recently been hired by BOB (Bringing Our Best)Enterprises Inc. Bob is In the recapitulation of a sonata form movement, the first theme group returns in the key of Ab major. The second theme group will probably be heard in the key of in order to determine efficiency of the spa, the industry uses a formula that divides the total revenue of the spa by which of the following units of measure is |||ORATIOS, PROPORTIONS, AND PERCENTSHourly gross pay with overtime84 FFor the fourth week of August, Jim Williams worked 45.25 hours. Jim earns $17.10 an hour. His employer pays overtime for all hours worked in excess of 40hours per week and pays 1.5 times the hourly rate for overtime hours.Calculate the following for the fourth week of August (round your responses to the nearest cent if necessary):1. Regular pay amount:2. Overtime pay:3. Gross pay:I need help with this math problem. Based on this excerpt, what policy was President Roosevelt recommending in this speech?(1) Passing the Atlantic Charter(2) United States military intervention in Europe It took a motorboat 1 hour longer to travel 84 miles against the current than travel the same distance with the current.The speed of the current is 1 mph.What is the speed of the motorboat in still water? Distinguish "peri-urbanization" from "urbanization" how do you BREATHE?help plssss what is the simplified ratio of 32:24 If the value of the coefficient is far away from zero, the parabola looks? at 10c, keq for a reaction is 100. at 30c, keq = 10. does enthalpy increase or decrease during the reaction Do you believe it's more valuable to have a parent at home or a parent away working? Quarter-end payments of $1,470 are made to settle a loan of$37,120 in 9 years. What is the effective interest rate?%Round to two decimal places What Japanese aesthetic refers to the awareness of things and the temporary nature of the world around us? Haley emailed Liam a report showing that Gen Z shoppers are more likely to purchase meal kits than to browse through individual grocery store items. The email was an example of ________.