...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