Ashwin likes to spend her spare time in summer in one of two ways:

(i) watching cricket (x) at Sydney Cricket Ground or (ii) watching movies (y) at Ritz cinema.

In choosing how to entertain herself, she considers both constraints---money and time.

Part II (3 marks)

Sam---a friend of Ashwin---has the same amount of spare time (48 hours per month) and same amount of money to spend on entertainment ($324 per month). He faces the same constraints as Ashwin. However, Ashwin and Sam have slightly different preferences over cricket (x) and movies (y).

Sam's utility function: U(x,y) = x + y

Ashwin's utility function: V(x,y) = min{x,y}

Each maximizes their own utility.

a) What is/are the utility maximizing bundle/s for Sam?

b) What is/are the utility maximizing bundles for Ashwin?