=+*14. A lemon-growing cartel consists of four orchards.

Their total cost functions are TC1 = 20 + 5Q1 2

TC2 = 25 + 3Q2 2

TC3 = 15 + 4Q3 2

TC4 = 20 + 6Q4 2

TC is in hundreds of dollars, and Q is in cartons per month picked and shipped.

a. Tabulate total, average, and marginal costs for each firm for output levels between 1 and 5 cartons per month (i.e., for 1, 2, 3, 4, and 5 cartons).

b. If the cartel decided to ship 10 cartons per month and set a price of $25 per carton, how should output be allocated among the firms?

c. At this shipping level, which firm has the most incentive to cheat?