Question 1: Consumer Choice (10 MARKS) (a) A consumer has a budget of $120 a week to spend on food. He likes potatoes (x) which cost $3 a unit, and pies (y) which cost $5 a unit. Calculate and illustrate his budget constraint. (b) Assume that the consumer's budget increases to $144 a week. Calculate and add the impact of this change to your diagram in (a). (c) This consumer considers potatoes and pies to be, for him, perfect complements (he consumes them in a 1:1 ratio). Following on from (b), what will his optimal consumption bundle, therefore, contain? Add this to your diagram with an appropriate indifference curve