QUESTION 2. With some services, e.g., checking accounts, phone service, or cable TV, a consumer is offered 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 a consumer has an income of $100. There are two plans. Plan A has an entry fee of $20 with a price of $2 per unit. Plan B has an entry fee of $40 with a price of $1 per unit for using the service. Let y be expenditure on other goods and x be consumption of the service. a. (8 pts) Draw the budget line for each of the two plans. b. (6 pts) If the utility function is U(x,y)=xy, which plan would the consumer prefer? Explain. C. (6 pts) If the utility function was instead U(x,y)=3x+2y, what would be the consumer's optimal choice? Explain