Problem 3: Preferences (8 pts) Nathan has utility over consumption c and leisure & defined by the following function U(x1, X2) = min(c, 4() Note: Based on this utility function, consumption and leisure are complements for Nathan. a) Suppose Nathan has 4 units of consumption c and 1 unit of leisure 4. What is his utility? (2 pts) b) Suppose Nathan has 2 units of consumption c and 1 unit of leisure 4. What is his utility? (2 pts) c) Below are five bundles of consumption and leisure that Nathan can choose from. Pick the bundle(s) that will maximize his utility. Write one to two sentences to justify your answer. (4 pts) 10 c 8 7 6 .D F C 3 A. 2 1 2 3 4 5 6 7 8 9 10