Question 394003: 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).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
---
Revenue = price*quantity
R(p) = p(2000-100p)
R(p) = 2000p-100p^2
================================
b) Find
R(5) = 2000*5 - 100*5^2 = 10,000-1000 = 9000
--------
R(10) = 2000*10-100*10^2 = 20000-10000 = 10,000
--------
R(20) = 2000*20 - 100*20^2 = 40000-40000 = 0
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Cheers,
Stan H.
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