Tom has a weekly allowance of $24, all of which he spends on pizza and movie rentals, whose prices are $6 per slice and $3 per rental, respectively. We can assume that pizza slices and movie rentals are available only in whole-number amounts.
a. List all possible combinations of the two goods that Tom can purchase each week with his allowance.
b* Tom's total utility is the sum of the utility he derives from pizza and movie rentals. If these utilities vary with the amounts consumed as shown in the table, and pizza slices and movie rentals are again consumable only in whole-number amounts, how many pizza slices and how many movie rentals should Tom consume each week?

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Utils/week from pizza Movie rentals week Pizza slices/week Utils/week from rentals 20 40 46 50 72 76 78 57 57