Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Sagot :

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]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.