A company wants to make and sell computers. The price function is p=−90x+1600 (x is the number of computers and p is the price) The weekly cost of production will be 9000$ with an extra 50$ per unit.

Question

A. Find the revenue function in terms of x

B. Find the cost function in terms of x using the production cost

C. Find the profit function in terms of x

D. Evaluate the marginal profit at x=250

Answer 1

(a) x ( -90x + 1600)

(b) 9000 + 50x

(c) P = x (-90x + 1600) - 9000 - 50x

(d) Find dP/dx when x=250