Thomas has allocated $48 per month for entertainment expenses, which he uses either to go bowling or to play billiards. One night of bowling costs Thomas $8, and one night of billiards costs Thomas $4. Use the information in the following graphs to determine how many nights Thomas should spend bowling and how many nights he should play billiards in order to maximize his utility. Explain your answer. 

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Marginal utility of bowling 56 48 40 32 24 16 8 1 1 1 0 1 1 2 3 5 6 MU 7 Bowling (nights per month)