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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

Respuesta :

MrRoyal

Answer:

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

Step-by-step explanation:

Given

[tex]d(x) = 1200 - 8x[/tex]

[tex]p(x) = 2x + 1[/tex]

Required

Find R(x)

We have that:

[tex]R(x) = d(x).p(x)[/tex]

This gives:

[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]

Expand

[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]

Open brackets

[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]

Collect Like Terms

[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

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