Hi, this is a question I have hard time with:

Tom has a weekly allowance of $24 and all of which he spends on pizza and movie rentals. Prices of pizza and movie rentals are $6 per a slice of pizza and $3 per a movie rental, respectively. Assume that slices of pizza and movie rentals are available only in whole-number amounts.

a) Identify all the possible combinations of slices of pizza and movie rentals for Tom.

b) Tom's total utility from the amounts of slices of pizza and movie rentals consumed per week is shown in the table below. Apply the rational spending rule to determine the quantities of slices of pizza and movie rentals that are consistent with this rule. Hence or otherwise, determine and explain the amount of pizzas and movie rental that Tom should consume each week in order to maximise his total utility.

Thank you in advance.

Slices of Total utility from slices of Movie rentals Total utility from movie Pizza pizza rentals 0 0 1 20 40 2 38 46 3 54 51 4 68 55 5 80 58 6 90 60 7 98 JOUAON 61 8 104 61.5