On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according to the function U(c, b) = 20c− c²+ 18b − 3b² a. How many cigars and glasses of brandy does he consume during an evening? (Cost is no object to J. P.) b. Lately, however, J. P. has been advised by his doctors that he should limit the sum of glasses of brandy and cigars consumed to 5. How many glasses of brandy and cigars will he consume under these circumstances?

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