Urgent - Calc work...

Calculus
Tutor: None Selected Time limit: 1 Day

  1. Find the cost function if the marginal cost function is given by C'(x) = x^(2/5) + 9
  2. Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is R'(x) = .03x^2 - .07x + 208
May 7th, 2015

1. Marginal cost function C'(x)= (1/5) x^2 + 9 
Cost function C(x) = (1/5) ∫ (x^2+9) dx 

= (1/5) ∫ x^2 dx + 9 ∫ dx = (1/5)(1/3) x^3 + 9x + C 
C(x) = (1/15) x^3 + 9x + C 

2. dR/dx = .03x^2 - .07x + 208

integrate with respect to x
R=0.01x^3-0.035x^2+208x
since revenue = price * quantity 
factor a x
r = x(0.01x^2-0.035x+208) + constant/q 
r = q * p 

p = 0.01x^2-0.035x+208 + constant/q


May 7th, 2015

Hello and thank you for your reply. However, the first question was incorrect, for whatever reason. The second question was reset to a different one due to a timeout, I apologize. If you could rework them I would be very grateful..

  1. Find the cost function if the marginal cost function is given by C'(x) = x^(2/5) + 9
  2. Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is R'(x) = .09x^2 - .08x + 168

May 7th, 2015

The first question has not changed, but the second has. When inputting the first answer, it was not accepted as correct.

May 7th, 2015

1. C(x)=5/7 x^(7/5) +9x +C

2. 0.03x^3-0.04x^2+168x+C

May 7th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
May 7th, 2015
...
May 7th, 2015
May 23rd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer