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Every evening, J.P. enjoys smoking cigars (c) and drinking brandy (b), according to the function:
U(b, c) = 20c – c 2 + 18b - 3b 2.
(a) How many cigars and brandy does he consume per night? (Money is no object!)
(b) What if J.P.'s doctor tells him that he should limit his consumption of (the sum of) cigars and brandy to 5 per night. If he follows this advice, how many glasses of brandy and cigars will he now consume?
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