Question

Suppose demand d for a company's product at cost x is predicted by the

function d(x)=0.36x + 810, and that the price p that the company can charge

for the product is given by p(x) = x+14. Find the company's revenue function.

Answer 1

0.36x ² + 815.04x + 11,340

Explanation:

Revenue = price × quantity

p(x) = x+14

d(x) = 0.36x + 810

Revenue = price × quantity

= (x + 14) * (0.36x + 810)

= 0.36x² + 810x + 5.04x + 11,340

= 0.36x ² + 815.04x + 11,340

Company's revenue = 0.36x ² + 815.04x + 11,340