Question 167742
A Vancouver travel agency advertises all-expenses-paid trips to the Grey Cup Game for special groups. Transportation is by bus which seats 48 passengers, and the charge per person is $80, plus an additional $2 for each empty seat. 
1. If there are X empty seats, find the equations for:
1. How many passengers are on the bus: 48-x
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2. How much does each pay? 80 + 2x
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2. What are the travel agency's total revenue when there are X empty seats?
(80+2x)(48-x) = 3840 - 80x + 96x -2x^2 = -2x^2+16x+3840 
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3. Find the maximum revenue.
Max occurs when x = -16/-4 = 4
Maximum revenue is (80+8)(48-4) = 88*44 = 3872
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Cheers,
Stan H.