# Math Help - Demand Equation; Domain

1. ## Demand Equation; Domain

The price, p and the quantity x sold of a certain product ovey the demand equation
x=10000 - 200p
A: Find a model that expresses the revenue R as a function of p

B: What is the domain of R?

C:What unit price should be used to maximize revenue?

D: If this price is changed, what is the maximum revenue?

E: How many units are sold at this price?

F: What price should be charged to collect at least $80000 in revenue? 2. ## Re: Demand Equation; Domain Originally Posted by britta The price, p and the quantity x sold of a certain product ovey the demand equation x=10000 - 200p A: Find a model that expresses the revenue R as a function of p revenue = (price)(quantity sold) B: What is the domain of R? use the revenue equation and the fact that p and R > 0 C:What unit price should be used to maximize revenue? the revenue function will be quadratic ... max revenue at the vertex D: If this price is changed, what is the maximum revenue? evaluate revenue at the price that maximizes it E: How many units are sold at this price? evaluate the demand function at the price F: What price should be charged to collect at least$80000 in revenue?

set revenue = 80000 , you should get two possible solutions for p
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