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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

User Nida
by
7.7k points

1 Answer

8 votes

Answer:


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

User Jens Ingels
by
8.6k points

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