Total Cost, Revenue, and Profit. Given thatR(x)= 200x − x2 and C(x)= 5000 + 8x for a new t...

Total Cost, Revenue, and Profit. Given that

R(x)= 200x − x2 and C(x)= 5000 + 8x for a new tablet produced by Visual Communications, find each of the following. (See Exercise.)

a) P(x)

b) R(175), C(175), and P(175)

Exercise

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 grocery cart for Ogata Wholesalers. Then the difference

P(x)= R(x)− C(x)

represents the total profit for producing x tools. Given

R(x)= 60x − 0.4x2 and C(x)=3x + 13,

find each of the following.

a) P(x)

b) R(100), C(100), and P(100)