Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit are as follows:
Category Product 1 Product 2 Product 3
Profit/unit $30 $50 $20
Machine 1 time/unit 0.5 2.0 0.75
Machine 2 time/unit 1.0 1.0 0.5
Two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is required for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 20% of the units produced.
How many units of each product should be produced to maximize the total profit contribution?
Product # of units
1
2
3
What is the projected weekly profit associated with your solution?
Profit = $
How many hours of production time will be scheduled on each machine? If required, round your answers to two decimal places.
Machine Hours Schedule:
Machine 1 Hours
Machine 2 Hours
What is the value of an additional hour of labor? If required, round your answers to two decimal places.
$
Assume that labor capacity can be increased to 120 hours. Develop the optimal product mix, assuming that the extra hours are made available.
Product # of units
1
2
3
Profit = $
Would you be interested in using the additional 20 hours available for this resource?

Answer:

the answer is 93002175

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer and explanation:

Question isn't complete but explanation is given below based on what you may be asking.

Answer and Explanation:

First, An object is a data type but is quite different from the usual or primitive data types such as string or integers. An object is based on object oriented programming(OOP) and is a sort of abstract data type which is usually defined by the programmer(some are inbuilt in the language). Objects are usually defined using classes and then become instances of those classes. Objects have identities(e.g- a dog has a name Zeus) and be compared to other objects of same class(other instances) while data types are not as well equipped to have identities, properties or methods that are user defined in order to make comparisons.

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

A and C are equivalent expressions for a given expression.

What does an expression mean?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is -4y+8.

Given options are:

A. -4(y-2)

By simplifying it we will get -4(y-2) = -4y+8

So, both are equivalent.

B. -4(-2+4y)

By simplifying it we will get -4(-2+4y) = 8-16y

So, both are not equivalent.

C. (2-y)4

By simplifying it we will get (2-y)4 = 8-4y

So, both are equivalent.

D. 4(-y+8)

By simplifying it we will get 4(y-8) = 4y-32.

So, both are not equivalent.

A, and C are equivalent expressions for a given expression.

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The equation (A+B)2 = A2 + 2AB + B2 holds for any n×n matrices.

when the matrices A and B are equal is the expression AB=BA valid? This is due to the fact that if A and B are not equal, the outcome of their multiplication will be different.

For example, if A and B were two matrices of order 3×3, then AB would be a 3×3 matrix while BA would be a different 3×3 matrix.

This makes sense because the order of multiplication matters because matrix multiplication is not commutative. Even though all matrices have the same size, AB=BA does not hold for all of them, even when A and B are equal.

This is true. This is because a square matrix produces a matrix that is the same size and order when it is multiplied by itself. As a result, (A+B)2 = A2 + 2AB + B2 holds for any n×n  matrices if A and B are both n×n matrices.

The distributive property of matrix multiplication can be used to demonstrate this. The equation (A+B)C = AC + BC holds, according to the distributive property, for any matrices A, B, and C. With the help of this, we can demonstrate that for every n×n  matrix, (A+B)2 = A2 + 2AB + B2.

Start with the equation (A+B)2 = (A+B)(A+B). Using the distributive property, we can rewrite this as (A+B)2 = AA + AB + BA + BB. Next, we can simplify the right side of the equation to get (A+B)2 = A2 + 2AB + B2. Therefore, the equation (A+B)2 = A2 + 2AB + B2 holds for any n×n matrices.

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If a bag has 30 orange marbles then that means it has 42 red marbles

Step-by-step explanation:

If there are 7 red marbles for every 5 orange marbles then what you would do is.

30/5=6

6*7=42

Each marble bag sold by Chris's marbles company contains 7 red marbles for every 5 orange marbles , if a bag had 30 orange marbles Then the bag contains 42 red marbles.

In the problem, we are given that each bag of marbles contains 7 red marbles for every 5 orange marbles. We need to find the number of red marbles when there are 30 orange marbles in the bag.

Let's represent the number of red marbles as R and the number of orange marbles as O.

According to the information provided, we have the following relationship:

R / O = 7 / 5

Now, we are given that the number of orange marbles (O) in the bag is 30. We can substitute this value into the equation:

R / 30 = 7 / 5

To find the number of red marbles (R), we can cross-multiple

R = (7 / 5) * 30

R = 42

Therefore, the bag contains 42 red marbles.

In summary, we used the given ratio of red to orange marbles in the bag to set up a proportion and then solved for the number of red marbles when the number of orange marbles was known. This allowed us to find that there are 42 red marbles in the bag.

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Answer:

well for me I think

Step-by-step explanation:

+10

T=-4.3+10

T=5.7°C

Answer:

f(3) = -11.

Explanation:

Given f(x) defined as follows:

To evaluate f(3), substitute 3 for x:

The value of f(3) is -11.

Answer:

B. Socialism

Step-by-step explanation:

In contrast to capitalism, socialists believe the shared ownership of resources and central planning offer a more equitable distribution of goods and services.

Karl Marx was the most prominent voice of socialism and believed the working class would rise up against the wealthy when faced with injustices.

Answer:

5/8

Step-by-step explanation:

Answer:

this is an equation of closure property of rational numbers under addition

Step-by-step explanation:

this is the meaning of it

for every a and b belongs to q then a+b belongs to q

Answer: 991

square root of 982081 hope this helps

The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.

Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.

Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.

Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:

h² = 6378² + 0.12²

h = √40684000.145

h = 6374.5 km

Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

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Answer:

Length:8

Width:5.5

Step-by-step explanation:

We're given area = 44m^2, and the formula for the area of a rectangle is the length multiplied by the width. So,

A = L * w = 44

We're given that the length is 3m shorter than 2 times the width, which is 2w - 3. "2w" is the same as "2 times the width", and the 3 is subtracted because it says 3m shorter than 2 times the width. So L = 2w - 3, and we can substitute that into our equation above.

(2w - 3)(w) = 44

2w^2 - 3w - 44 = 0

Use the quadratic formula here.

x = {3 ± √(-3)^2 - 4(-44)(2)}/2(2)

= {3 ± √9 + 352}/4

= (3 ± 19)/4

You'll get two answers, but remember, we're measuring the length of the sides of shapes, so it has to be positive. It's impossible to have negative lengths, so we're going to stick with the (3 + 19)/4 answer, which is 22/4, which is 5.5. However, we are not finished yet. This is just the width. Now we need to plug it into the equation for length, which was 2w - 3

2(5.5) - 3 = 11 - 3 = 8

The length is 8m and the width is 5.5m.

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

6

Step-by-step explanation:

a =8

x = -10

(-3)(a +x)

(-3)(8 - 10)

(-3)(-2)

6

Answer:

l = 26, w = 10

Step-by-step explanation:

These types of word problems always want you to use variables to find the answer. Variables are always going to represent the numbers you don't know.

This question wants you to find the length and width of the wall of the barn, so let's just use l for length (let l = length of barn wall) and w for width (let w = width of barn wall); this is called defining your variables, so that you--or anyone who looks at your work--know what the letter variable represents.

Now we use the other information we have to find what values the variables actually equal.

We know that the length is 6 feet longer than twice the width. To express this in terms of numbers and variables: l = 6 + 2w. This makes sense, right?

length = 6 + (2 * width)

If the total area of the wall is 260 square feet and we need to find the length and width, we can use the A = lw formula, which you can use for any rectangle. Since 260 is the area (A), we can put that into the formula so that we have 260 = lw.

Next, use the expression we came up with earlier (l = 6 + 2w) to help find the answer.

We have two equations now (l = 6 + 2w and 260 = lw) and we just need to put them together.

This part is the same as solving any other linear equation.

The approach I'll use is substitution:

l = 6 + 2w

260 = lw

Substitute 6 + 2w in for l:

260 = (6 + 2w) w

Distribute:

260 = 6w + 2w²

Solve:

w² + 3w - 130 = 0

w = -13, w = 10

(The width of a rectangle cannot be negative, so it has to be 10 ft.)

We're almost there. The last thing to do is to find the length. Just plug in 10 for w in the l = 6 + 2w formula:

l = 6 + 2(10) = 6 + 20 = 26

To check your work, we can double the width and add 6 to get 26, and 26 * 10 is 260.

So, the length of the wall of the barn is 26 and the width of the wall of the barn is 10.

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

Answer:

Step-by-step explanation:

Each die can show one of the five possible numbers. So, the number of possible outcomes for rolling one die is 5.

Since there are three dice being rolled, the total number of possible outcomes is the product of the number of possible outcomes for each die. That is:

Number of possible outcomes = 5 x 5 x 5 = 125

Therefore, there are 125 different outcomes possible when rolling three distinct, five-sided dice.

Answer:

4*​y+​2*​y

Step-by-step explanation:

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

C

Step-by-step explanation:

Instead of how much she should've had left it should've asked how much did she use.

Answer:

C

Step-by-step explanation:

Just because I think that's the one ^^

The acute angle that satisfies the equation is 18.6 degrees

The equation is given as

csc Theta = 3.1297

Rewrite properly as

csc(∅) = 3.1297

In trigonometry

csc(∅) = 1/sin(∅)

So, we have

1/sin(∅) = 3.1297

This means that

sin(∅) = 1/3.1297

Evaluate the expression

sin(∅) = 0.3195

Take the arc sin of both sides

∅ = sin-1(0.3195)

Evaluate the arcsin expression

So, we have

∅ = 18.6

Hence, the acute angle that satisfies the equation is 18.6 degrees

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