The Big Motor Works (BMW) is considering a production schedule for cars and trucks over the next two months. They must deliver on time 400 trucks and 800 cars in month one. In month two, their demand is 300 trucks and 300 cars. During each month, at most 1,000 vehicles can be built. Each truck uses two tons of steel and each car uses one ton of steel. During the first month, the steel cost will be $400 per ton. During the second month the cost of steel will go up to $600 per ton. At most 2,500 tons of steel can be purchased in each month. (Steel can only be used in the month it is purchased.) At the beginning of month one, 100 trucks and 200 cars are in inventory. At the beginning of each month a hold- ing cost of $150 per vehicle is assessed. Each car gets 30 mpg, and each truck gets 20 mpg. To meet fuel economy regulations, the vehicles produced each month must average at least 26 mpg. The company wants to minimize its total costs.
a. Formulate a linear program to help BMW determine how many cars and trucks it should produce each month and how many it should keep in inventory each month.
b. Use Solver to find the optimal solution to the linear program from part a. Using a sensitivity report from the Solver solution in part b, answer questions c—g.
c. How many trucks and how many cars should be produced in each month?
d. Suppose the price of steel fell by $25 per ton. What would be the total impact on optimal solution and optimal value?
e. The company just got notified the supply of steel has decreased from 2,500 tons to 2,000 tons. What impact will this have on their production plans?
f. The company is able to add overtime at a cost of $900 per car to increase total production in either month. Should they add overtime in either month? Why or why not?

Answer:

2 5/9 is the mixed number

Step-by-step explanation:

2x9=18

23-18=5

Answer:

2 5/9

Step-by-step explanation:

Just divide by 9 and leave the remainder over 9

So 23/9 is 2 R 5

So the answer is 2 5/9

Answer:

I already answered before but i hope u see this 1, the 1st option

Step-by-step explanation:

PLZ do it. hope it helps :)

Answer:

89!

Step-by-step explanation:

There could be multiple ways of doing this. I would personally...

Add all the test scores together.

Then divide the amount of scores.

For example:

90 + 87 + 82 + 91 + 95 = 445

445 / 5 = 89!!

Answer:

i need that answer to

Step-by-step explanation:

Answer:

the top on the right.

Step-by-step explanation:

Answer:

is good by his guan yes is help to me

Answer:

I believe the answer is c

Using the Pythagorean theorem which states that;

a²+b²=c²

or

side (1) ²+side (2) ²=hypotenuse²

15²+8²=x²

225+64=x²

289=x²

Take the square root of both sides to get;

x=√289=17

x=17

Step-by-step explanation:

[tex] \longmapsto \: hypotenuse(h) = x \\ \longmapsto \: perpendicular(p) = 15cm \\ \longmapsto \: base(b) = 8cm \\ using \: pythagoras \: theorem \\ \hookrightarrow {h}^{2} = {p}^{2} + {b}^{2} \\\hookrightarrow {x}^{2} = ({15cm}^{2} + ({8cm})^{2} \\ x = \sqrt{225 {cm}^{2} + 64 {cm}^{2} } \\ \hookrightarrow \: x = \sqrt{289 {cm}^{2} } \\ \hookrightarrow \: x = 17cm [/tex]

Answer:

A.

Step-by-step explanation:

Janes Raise: 4% of 41,200:

1648

Johns Raise; 4.5% of 43,900:

1975.4

Jacks Raise: 3% of 39,700:

1191

1648+1975.5+1191 = 4,814.5 which is about $4,815

Answer:

The biggest differentiating factor between a function and NOT a function

is that a function gives only one output for any given input. so no matter how many times you use the same value in the function, you will get the same output

A relation which is not a function will have 2 or more outputs for a single input

So if we have more than 1 similar input values in the table and given them different outputs, the relation will NOT be a function

I will take 2 similar inputs "1" and give them different outputs, the rest of the table can be randomly filled

x         y

1         4

3        7

5        9

1         2

Answer:

5+2, 2+5, 4+3, 3+4, 6+1, 1+6, 7+0, 0+7

Step-by-step explanation:

Hope this helps!

Answer:

D. (6,-1)

Step-by-step explanation:

Translating is just sliding slide the point B down 4 units from where it is and then move over 6 units to the right.

Answer:

(x, y) → (x – 8, y + 4)

Step-by-step explanation:

Given:

A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y).

To Find:

Which is another way to write this rule?

Solve:

Therefore the answer is (x, y) → (x – 8, y + 4)

!Lenvy~

Answer:

(x, y) → (x – 8, y + 4)

Step-by-step explanation:

Answer:

E. 4 cm

Step-by-step explanation:

Given:

Scale factor (R) = [tex] \frac{m_{image}}{m_{preimage}} = \frac{1}{3} [/tex]

AB = 12 cm

Required:

Length of A'B'

SOLUTION:

A'B' = length of the image = x cm

AB = length of the preimage = 12 cm

Thus, using the scale factor given, the length can be calculated as shown below:

[tex] \frac{m_{image}}{m_{preimage}} = \frac{x}{AB} = \frac{1}{3} [/tex]

[tex] = \frac{x}{12} = \frac{1}{3} [/tex]

Multiply both sides by 12

[tex] \frac{x}{12}*12 = \frac{1}{3}*12 [/tex]

[tex] x = \frac{12}{3} [/tex]

[tex] x = 4 [/tex]

x = A'B' = 4 cm

Answer: 834.142857143

Step-by-step explanation: I did it on paper this is like 3rd grade math.

Answer:

False

Step-by-step explanation:

To calculate the unit price of an item, divide the total number of units by the total price is a "false statement." To calculate the unit price of an item, you have to understand that unit price means price per unit. To find the unit price we divide the total cost by the amount of items we are given in the question.

Example:

Sarah has 12 apples, she paid 20 dollars for all 12 apples, what is the unit price?

[tex]unitp=cost\div quantity[/tex]
[tex]unit=20\div12=1.66666667[/tex]
[tex]=1.66666667[/tex]

Round the answer to the nearest cent:
[tex]1.66666667[/tex]
[tex]6 > 5[/tex]
[tex]=1.67[/tex]

Which means the unit price of the 12 apples is "$1.67."

Hope this helps.

Answer:

x = 9

Step-by-step explanation:

If ABCD is a parallelogram, then 6x = 7x - 9

as the point of intersection of the 2 diagonals is the midpoint of AC

6x = 7x - 9

Subtract 6x from both sides:

⇒ 0 = x - 9

Add 9 to both sides:

⇒ 9 = x

Solution:

We know that:

This means that:

Step-by step calculations:

Simplify the RHS:

Subtract 13x both sides:

Divide -1 both sides:

Answer:

(y₂ - y₁) / (x₂ - x₁)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

If you turn it into a rectangle, then you can see one side is 4 squares long, and the other is 5 squares long. 4 x 5= 20

Explanation

The given equation y = 2x+3 is in the form y = mx+b

Compare the terms to see that 2x matches with mx, so m = 2

The other term matches with b, so b = 3

m is the slope and b is the y intercept, so that's how I got those answers above.

Answer:

No, its not equivalent

1/2 is equivalent though

Please mark as brainliest

Answer:

No

Step-by-step explanation:

Given the following question:

[tex]\frac{5}{10}[/tex]

You can prove 5/10 isn't equivalent to 1/6 by simply reducing 5/10.

[tex]\frac{5}{10}[/tex]
[tex]\frac{5}{10}\div5=\frac{1}{2}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\frac{1}{2} > \frac{1}{6}[/tex]

5/10 isn't equivalent to 1/6, so your answer is "no."

Hope this helps.

Your answer is 10cm

2l + 2w

4+6=10cm

CONSIDER BRAINLIEST.

Answer:

perimeter: 10 cm

explanation:

perimeter of rectangle: 2 ( length + width )

using this formula:

2( 2 + 3 )

2 ( 5 )

10 cm

Answer:

50⁰

Step-by-step explanation:

Since j and k are parallel lines cut by two transversals,

2+3+5=180⁰ (Allied angles)

We are given 2(60⁰) and 5(70⁰)

so,

60⁰+3+70⁰=180⁰

60+70=130

130⁰+3=180⁰

Bring the 130⁰ to the R.H.S

3=180⁰-130⁰

Therefore,

3=50⁰

Answer:

D

Step-by-step explanation:

Vertical angles are just angles formed by intersecting lines, there is no rule that states they must be acute (they can also be right or obtuse)

The option that is False is that Vertical angles are acute angles.

In mathematics, the term congruent means a figure, shape, or angle that has two equal parts, size, and length.

However, vertical angles assume a right angle and they are perpendicular to the straight line which makes them 90°, but we know that acute angles are angles that are less than 90°.

Therefore, we can conclude that vertical angles are not acute angles.

Learn more about congruent angles here:

https://brainly.com/question/24281994

#SPJ5

Answer:

8.66025 or 5√3

Step-by-step explanation:

Factor

25

out of

75

.

√

25

(

3

)

Rewrite

25

as

5

2

.

√

5

2

⋅

3

Pull terms out from under the radical.

5

√

3

The result can be shown in multiple forms.

Exact Form:

5

√

3

Decimal Form:

8.66025403

Answer:

There is no slope, so we draw a line parallel to the x-axis and the width of the origin is equal to -7

Answer:

Step-by-step explanation:

Remark

The surface area is the area of all six sides when the object is a box.

Formula

SA = 2*L*w + 2*L*h + 2*w*h

Givens

L = 6 ft

w= 3 ft

h = 2.5 feet

Substitute and Solution

SA = 2*6*3 + 2*6*2.5 + 2*3*2.5

SA = 36 + 30 + 15

SA = 81

The total interest amount, the total amount to be paid, and her monthly payment over 7 years  is mathematically given as

Question Parameters:

Maribel was approved for a 7-year private student loan at 6.8%

costs of $10,900

Generally, the total interest amount   is mathematically

given as

X=10900*0.068

X=741.2

Therefore total amount to be paid is

Y=10900*741.2

Y=11641.2

In conclusion, her monthly payment over 7 years

z=11641.2/(7*12)

z=138.5857

Read more about Interest

https://brainly.com/question/2455673

Answer:

Step-by-step explanation:

The total interest amount, the total amount to be paid, and her monthly payment over 7 years  is mathematically given as

X=741.2

Y=11641.2

z=138.5857

What is the total amount she will pay back and the total interest amount?

Question Parameters:

Maribel was approved for a 7-year private student loan at 6.8%

costs of $10,900

Generally, the total interest amount   is mathematically

given as

X=10900*0.068

X=741.2

Therefore total amount to be paid is

Y=10900*741.2

Y=11641.2

In conclusion, her monthly payment over 7 years

z=11641.2/(7*12)

z=138.5857