if a vendor charges p dollars each for rugby shirts, then he expects to sell 2000-100p shirts at a tournament.

Question

a. Find a polynomial R(p) that represents the total revenue when the shirts are p dollars each
b. Find r(5), R(10), and R(20)
C. Use the bar graph to determine the price that will give the maximum total revenue

Answer 1

R(p) = p*(2000 - 100p)
= 2000p - 100 p^2

You do the calculations. The highest R value will be at p = 10, which is what they call R(10). It equals $10,000

Note that there will be zero sales when p = $20