1. Suppose a consumer has u = clc . Further suppose that A/ = 100, and p1 = p2 = 2. Show this consumer's utility maximizing choice using the standard graph of a budget set and an indifference curve. The government wishes to limit consumption of a to 20. One way to do this is to impose a quota of 20 for good 1 - restrict the consumer to 21 choices no greater than 20. Another way is to impose a per unit tax on good 21. Suppose that a per unit tax of $0.25 leads the consumer to choose z1 = 20 on the resulting budget line. Show these options on your gragh. Which policy would the consumer prefer, the quota or the tax? Why