1. Let M(U) a = z = 10 - x and M(U) b = z = 21 - 2y, where z is marginal utility per dollar measured in utils, x is the amount spent on product A, and y is the amount spent on product B. Assume that the consumer has $10 to spend on A and B -- that is, x + y = 10. How is the $10 best allocated between A and B? How much utility will the marginal dollar yield?
2.Assume that the consumption of schedule for a private open economy is such that consumption C = 50 + 0.8Y. Assume further that planned investment Ig and net exports Xn are independent of the level of real GDP and constant at Ig = 30 and Xn = 10. Recall also that, in equilibrium, the real output produced (Y) is equal to aggregate expenditures: Y = C + Ig + Xn.
a. Calculate the equilibrium level of income or real GDP for this economy.
b. What happens to equilibrium Y if Ig changes to 10? What does this outcome reveal about the size of the multiplier?