Suppose a computer manufacturer has the total cost function

Suppose a computer manufacturer has the total cost function C(x) = 70x + 3140 and the total revenue function R(x) = 384x.

(a) What is the equation of the profit function P(x) for this commodity? P(x) =

(b) What is the profit on 348 items? P(348) = $

(c) How many items must be sold to avoid losing money? x = items

Solution

given c(X) = 70X +3140

a) the profit function p(x) = R(x) - c(x)

= 384X- 70X - 3140

= 314X - 3140

b) the cost of 348 items = 70(348) + 3140

= 27500

the profit of 348 items p(X) = R(x) - c(x)

= 133632 - 27500

= 106132