the marginal cost function of a product, in dollars per unit, is c′(q)=2q2−q 100. if the fixed costs are $1000, find the total cost to produce 6 itemsSelect one:A. $1726B. $2726C. $726D. $1226

Answers

Answer 1

The total cost to produce 6 items whose marginal cost function of a product, in dollars per unit, is c′(q)=2q²−q+ 100 and if the fixed costs are $1000 is $1726.

The marginal cost function of a product

c′(q)=2q²−q+ 100

To find the cost-taking integration on both side

[tex]\int\limits{c'} \, dq = \int\limits {2q^{2} - q + 100 } \, dx[/tex]

c = [tex]\frac{2q^{2} }{3} -\frac{q^{2} }{2} + 100q[/tex]

Cost to produced = 6 items , fixed cost of the product = 1000

Total cost = 1000 + [tex]\frac{2q^{2} }{3} -\frac{q^{2} }{2} + 100q[/tex]

q = 6

Total cost = 1000 +[tex]\frac{2(6)^{2} }{3} -\frac{6^{2} }{2} + 100(6)[/tex]

Total cost = 1000 + 144 - 18 + 600

Total cost = 1726

The total cost to produce 6 items is 1726 .

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Related Questions

Triangles ABC and DFG are similar.

Which proportion can be used to find the value of DG¯¯¯¯¯¯?

a 15/7=5/DG

b DG/15=5/7

c 5/7=15/DG

d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.

Answers

Answer:

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches

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A tree cast a shadow of 10 ft when the suns rays hit the ground at an angle of elevation of 28 .what is the height of the tree ? Round your answer to the nearest tenth

Answers

Answer:

crcrc4cc4crfc

Step-by-step explanation:

Answer:

You can use scale factor

Step-by-step explanation:

The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle

Answers

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter = 2 widths + 2 lengths

74 = 2W + 2L

L = W + 3

substitute for L

74 = 2W + 2(W + 3)

74 = 4W + 6

68 = 4W

W = 17 meters

L = 20 meters

Answer:

Step-by-step explanation:

Givens

Let the width = w

Then the Length = w + 3

Formula

P = 2L + 2W

P = 74

Solution

Substitute w + 3 for L

2(W + 3) + 2W = 74 Remove the brackets

2W + 6 + 2W = 74 Collect Like Terms

4w + 6 = 74 Subtract 6 from both sides

4w = 74 - 6

4w = 68 Divide by 4

w = 68/4

w = 17

L = w + 3

L = 17 + 3

L = 20

Check

P = 40 + 34

P =74

Help ASAP I’ll give you brainlest

Answers

Answer:

5.33 OR 5 1/3

Step-by-step explanation:

3 x 2³ ÷ 2 x 4 -1 +2

3 x 8 ÷ 2 x 4 -1 + 2

24 ÷ 8 +1

24 ÷ 9

2.66 OR 2 2/3

Solve for value the two angles in the triangle and classify the triangle using the sides and angles

Answers

Step-by-step explanation:

x + 15 +2x + 66 = 180

3x + 81 = 180

3x = 99

x = 99/3 = 33

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

The angles are 66, 66, and 48 degrees

The triangle is isosceles because 2 angles are equal, thus two leg lengths are equal

Step-by-step explanation:

the sum of all three angles in a triangle = 180 degrees

66 + 2x + (x+15) = 180

simplify

66 +3x + 15 = 180

reduce

81 + 3x = 180

subtract 81 from each side

81 - 81 + 3x = 180 - 81

3x = 99

divide both sides by 3

3x/3 = 99/3

x = 33

BC =
Round your answer to the nearest hundredth.
B
?
65
А
7

Answers

Answer:

14 = rounded 15

Step-by-step explanation:

What grade r u in?

And what time is where u r?

Answer: 5.52 (answer already rounded)

Step-by-step explanation:

Line c has a slope of 6/5. Line d is parallel to line c. What is the slope of line d?

Answers

Answer:

6/5

Step-by-step explanation:

Parallel lines have same slopes.

line pass through the sets given points. which choice shows perpendicular lines?

Answers

Answer:

I have no reference to this question, there is no graph or anything to show me.

hope this helps, have a great day :)

i need help with the work and math

Answers

4 + 9 = 13

I don't know what 90p means but basically, u have to multiply that by 3 and add it to our current total which is 13.

Then, u substract the total cost from the 20 and you should get the change.

pls help.....

.....20 points

Answers

Answer:

Step-by-step explanation:

The simplest way to do this is to take every integer on there and divide it by 3.

8961/3 = 2987

5233/3 = 1744 1/3

10245/3 = 3415

-5469/3 = -1823

Because B does not produce an integer, that is your answer

(This works because of inverse operations)

Please let me know if you have any questions.

Dilate point a in relation to the origin by a dilation factor of 5.?

Answers

Answer:

origin dilation if 5. is 5

Solve for x : 80 + x = 100 - 14

Answers

Answer:

x=6

Step-by-step explanation:

100-14=86

86-80=6

Help!!! Please HELP!!!

Answers

Answer:

Step-by-step explanation:

that's where they cross

Find the area of the triangle.

Answers

Answers

Answer:

3 miles

Step-by-step explanation:

This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg

need help in this show working please

Answers

this is what i got hope it helps

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