Question

The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the company can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.

Answer 1

The revenue function

R(x) = - 2x² +490x +2500

Explanation:

Explanation:-

The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x

The price p in dollars that the company can charge for the product is given by p(x) = x + 5

Revenue = price × demand

Revenue = p(x) × d(x)

Revenue = (x+5) ×(500-2x)

Revenue = x(500-2x)+5(500-2x)

Revenue = 500x - 2x² + 2500- 10x

Revenue = - 2x² +490x +2500