Selling shirts. If a vendor charges p dollars each forrugby shirts, then he expects to sell 2000 - 100p shirts ata tournament.

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

1 answer

(a)
Number of shirts sold = 2000-100p
Selling price of each shirt = p
Total revenue, R(p) = p(2000-100p)

(b) substitute p=5,10 and 20 in the expression for R(p)
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