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.

R(x) = ________ + ________ x – _______ x^2

Answer 1

-2x²+490x+2500

Explanation:

Given that,

Demand, D(x) = 500-2x

The price for the product, P(x) = x+5

We need to find the revenue for the product. The formula for the revenue is given by :

Revenue = price × demand

Substitute all the values,

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

= 500x -2x² + 2500 -10x

= -2x²+490x+2500

So, the expression for the revenue function is "-2x²+490x+2500".