Question

1 point) The price-demand and cost functions for the production of microwaves are given as

p=280−x40p=280−x40

and

C(x)=20000+100x,C(x)=20000+100x,

where xx is the number of microwaves that can be sold at a price of pp dollars per unit and C(x)C(x) is the total cost (in dollars) of producing xx units.

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

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

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

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

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

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

Answer 1