The price p and the quantity x sold of a certain product obey the demand equation

p=-1/3x + 100 0 less then or equal x less then or equal 300

a) Express the revenue R as a function of x.

b) What is the revenue if 100 units are sold?

c) What quantity x maximizes revenue? What is the maximum revenue?

d) What price should the company charge to maximize.

I am not sure how to get the answers. But I have the answers to this question. I am looking for someone to help me work it out. I have about 4 more like this to do. I am hoping someone can show me how to do this one and I can do the rest.

Answers:

a) R(x)=-1/3x^2 + 100x

b) $6667

c) 150; $7500

d) $50

robert