Need help with this problem - Am I doing this right ?

hmovva

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Aug 1, 2012
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A car rental company can rent 30 cars at a daily rate of $12 per car. For an additional $2 a day charged per car, one fewer car is rented. If the company wants to maximize revenue, what would it charge to rent a car for 1 day ?


I am setting up the demand equation (14-p)/(14-12) = (29 - d)/(29-30) which become p = 72 - 2d.

Revenue = d(72 - 2d) = 72 d - 2d^2

Max revenue is the first derievative equal to zero gives 72 - 4d = 0 and d = 18.

p = 72 - 2(18) = 36.

Is this correct ? Please let me know. Thanks.
 
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