The price-demand and cost functions for the production of microwaves are p=245−x/50 and C(x)=46000+60x, where x is the number of microwaves and C(x) is the total cost

Question

A) Find the marginal cost as a function of x. C′(x) =

B) Find the revenue function in terms of x. R(x) =

C) Find the marginal revenue function in terms of x. R′(x) =

D) Evaluate the marginal revenue function at x=1500. R′(1500) =

E) Find the profit function in terms of x. P(x) =

F) Evaluate the marginal profit function at x=1500. P′(1500) =

Answer 1

MC = 60

R = 245x - x^2/50

R' = 245 - x/25