Rink Rental The owner of a skating rink rents the rink for parties at $720 if 60 or fewer...

Rink Rental The owner of a skating rink rents the rink for parties at $720 if 60 or fewer skaters attend, so the cost is $12 per person if 60 attend. For each 6 skaters above 60, she reduces the price per skater by $0.50.

a. Construct a table that gives the revenue if the number attending is 66, 72, and 78.

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b. Does the function R(x) = (60 + 6x)(12 − 0.5x) model the revenue from the party if x represents the number of increases of 6 people each?

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c. How many people should attend for the rink’s revenue to be a maximum?