Question

The pro t function, p(x), for a company is the cost function, c(x), subtracted from the revenue function, r(x). The pro t function for the Acme Corporation is p(x) = 0:5x 2 + 250x 300 and the revenue function is r(x) = 0:3x 2 + 150x. The cost function for the Acme Corporation is

Answer 1

cost= -0.2x^2-100x-300

Explanation:

Given that the profit function is

p(x) = 0.5x^2 + 250x+300

also given that the revenue is given as

r(x) = 0.3x^2 + 150x

we know that profit= revenue - cost

hence cost = revenue-profit

cost = r(x) -p(x)

cost= 0.3x^2 + 150x-(0.5x^2 + 250x+300)

cost= 0.3x^2 + 150x-0.5x^2 - 250x-300

collect like terms

cost=0.3x^2-0.5^2+150x-250x-300

cost= -0.2x^2-100x-300