Question

The demand d for a company’s product at cost x is predicted by the function

d(x) = 1200 – 8. The price p in dollars that the company can charge for the product

is given by p(x) = 2 + 1. Use the formula Revenue = price × demand to find the

revenue function for the product, in terms of price x

Answer 1

`R(x) = - 16x^2+2392x + 1200`

Explanation:

Given

`d(x) = 1200 - 8x`

`p(x) = 2x + 1`

Required

Find R(x)

We have that:

`R(x) = d(x).p(x)`

This gives:

`R(x) = (1200 - 8x) * (2x + 1)`

Expand

`R(x) = 1200* (2x + 1) - 8x* (2x + 1)`

Open brackets

`R(x) = 2400x + 1200 - 16x^2 -8x`

Collect Like Terms

`R(x) = - 16x^2 -8x+2400x + 1200`

`R(x) = - 16x^2+2392x + 1200`