Total Cost, Revenue, and Profit. In economics, functions that involve revenue, cost, and profit are used. For example, suppose that R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new kind of tool for King Hardware Wholesalers. Then the difference.
P(x) = R(x) − C(x)
represents the total profit for producing x tools.
Given that
R(x) = 200x − x2 and C(x) = 5000 + 8x,
for a new radio produced by Clear Communication, find each of the following. (See Exercise 45.)
a)P(x)
b) R(175), C(175), and P(175)
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