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.

For the given levels of pizza consumption, calculate how many rentals Tom can afford with his remaining income. Fill out rentals

Pizza Rentals
1
2
3
4
Using the utility values in the table below, how many pizza slices and how many movie rentals should Tom consume each week to maximize his total utility?

Pizza slices per week Utils/week from pizza Movie rentals per week Utils/week from rentals
0 0 0 0
1 20 1 40
2 36 2 46
3 48 3 50
4 58 4 54
5 66 5 56
6 72 6 57
7 76 7 57
8 78 8 57