Problem 6 With some services, e. g., checking accounts, phone service, or pay TV, a consumer is oered a choice of two or more payment plans. One can either pay a high entry fee and get a low price per unit of service or pay a low entry fee and a high price per unit of service. Suppose you have an income of $100. There are two plans. Plan A has an entry fee of $20 with a price of $32 per unit. Plan B has an entry fee of $40 with a price of $1 per unit for using the service. Let a: be expenditure on other goods and y be consumption of the service. (a) I'Vrite down the budget equation that you would have after you paid the entry fee for each of the two plans. (b) If your utility function is U(.:c,y) : 33y, how much y would you choose in each case? ((3) Which plan would you prefer? Explain