1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lidiya [134]
3 years ago
12

The cost, in dollars, of producing x yards of a certain fabric is C(x) = 1500 + 12x − 0.1x2 + 0.0005x3. (a) Find the marginal co

st function. C'(x) = (b) Find C'(500) and explain its meaning. What does it predict? C'(500) = and this is the rate at which costs are increasing with respect to the production level when x = . C'(500) predicts the cost of producing the yard. (c) Compare C'(500) with the cost of manufacturing the 501st yard of fabric. (Round your answers to four decimal places.) The cost of manufacturing the 501st yard of fabric is C(501) − C(500) = − 45,000 ≈ , which is approximately C'(500).
Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer:

(a) The marginal cost function is 12 - 0.2x + 0.0015x^2

(b) C'(500) = $287. C'(500) indicates the rate at which cost is rising with respect to production level of the fabric when x = 500.

C'(500) predicts the cost of producing the 500th yard of fabric.

(c) C'(500) = $287

The cost of manufacturing the 501st yard, C(501) = $287.6505.

C(501) is approximately the same as C'(500).

Step-by-step explanation:

(a) The marginal cost function is obtained by differentiating the cost function (C) with respect to the number of yards of fabric produced (x)

C(x) = 1500 + 12x - 0.1x^2 + 0.0005x^3

C'(x) = 12 - 0.2x + 0.0015x^2

(b) C'(x) = 12 - 0.2x + 0.0015x^2

C'(500) = 12 - 0.2(500) + 0.0015(500)^2 = $287. This means that cost is rising at a rate with respect to the production level when x = 500.

C'(500) = $287 predicts that the cost of producing the 500th yard of fabric is $287.

(c) C(x) = 1500 + 12x - 0.1x^2 + 0.0005x^3

C(501) = 1500 + 12(501) - 0.1(501)^2 + 0.0005(501)^3 = $287.6505 is approximately the same as C'(500) which is $287

You might be interested in
Rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters.
Leni [432]

Answer:

  • V=8×6×3

Step-by-step explanation:

Given that,

the rectangular prism has ;

  • length=8meters
  • width=6meters
  • height=3meters

<u>As</u><u> </u><u>we</u><u> </u><u>know</u><u>,</u><u> </u>

  • volume =length×width×height
  • V=8×6×3
7 0
2 years ago
Read 2 more answers
What is the missing piece of the information in the paragraph proof?
Sophie [7]
B. angle 2 and angle 3 and congruent.

Please press brainliest if this helped you.
4 0
2 years ago
Read 2 more answers
Jenny and Chris share some prize money in the ratio 2:4. The prize money totaled $3000. How much did Chris win?
mafiozo [28]
Solution for What is 2.4 percent of 3000:

2.4 percent *3000 =

(2.4:100)*3000 =

(2.4*3000):100 =

7200:100 = 72
Maybe i dont know tbh
6 0
2 years ago
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total poin
fgiga [73]
I'm thinking maybe x is supposed to represent the number of tasks completed because it states Shelly earned 90 points on each task.  Then when put together it may look like this, let's say there are 4 tasks= Ex.90 times the 4 tasks minus 20 points which would total the points Terrence's has earned. So i believe x is the total tasks. Hope I didn't make it confusing...
6 0
3 years ago
Read 2 more answers
Determine whether the function f (x) = x + 9x” is even, odd or neither.
rusak2 [61]

Answer:

Step-by-step explanation:

This is even because if we put x=1 then we get 10 if we put x=2 then we get 20 and so on. So all these are even numbers.

8 0
3 years ago
Other questions:
  • I NEED HELP ASAP! Jocelyn bought 2 sweaters for the same price. She paid $23.56, including sales tax of $1.36 and a $5.00 discou
    10·1 answer
  • How are sales tax, tip and markup related
    12·1 answer
  • Solve for a p=w/a<br><br> A. a=pw<br> B.a=p/w<br> C.a=w/p<br> D.a=w+p
    15·1 answer
  • Janine has job offer sat two companies. One company offers a starting salary of 28,000 with a raise of 3,000 each year. The othe
    9·1 answer
  • Find the quotient and simplify if possible q/7 ÷ q/26
    14·2 answers
  • GEOMETRY!!!! CLICK ON THE PICTURE
    9·1 answer
  • X + y =7<br>x - y= 1<br><br>find X and Y​
    15·2 answers
  • Enter the distance, in units, between point A and point B <br><br> (Don’t sent me links pls
    14·1 answer
  • Convert 0.2 m^ 3 , into c * m ^ 3​
    7·1 answer
  • Yusof poured some of the lemonade from a jug equally into 16 cups
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!