SOLUTION: . If a vendor charges p dollars each for rugby shirts, then he expects to sell 2000 - 100p shirts at a tournament. a) Find a polynomial R(p) that represents the total revenue when

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Question 158131: . If a vendor charges p dollars each for rugby shirts, then he expects to sell 2000 - 100p shirts at a tournament.
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 by joey_quizan(15) About Me  (Show Source):
You can put this solution on YOUR website!
Sol:
p = unit price in dollar of a rugby shirt
2000-100p = number of unit that he expect to sell
R(p) = Total revenue

R(p) = p(2000-100p)
R(p) = 2000p - 100p^2
Ans to a: R(p) = 2000p - 100p^2
For b:
R(5) = 2000x5-100x5x5
R(5) = 10000-2500
R(5) = 7500
R(10) = 2000x10-100x10x10
R(10) = 20000-10000
R(10) = 10000
R(20) = 2000x20-100x20x20
R(20) = 40000-40000
R(20) = 0
For c:
Max R(p) = 10000