The long-run total cost faced by firms that hire operations managers with average talent is given by lt c a = 200 + 2 q 2 . the associated marginal cost function is given by lmc a = 4q, and the corresponding long-run average total cost is lat c a = 200/q + 2q. a. derive the firm supply curve for ice cream producers with extraordinary operations managers. b. derive the firm supply curve for ice cream producers with average operations managers. c. the minimum lat c a (for firms with average operations managers) is $40, achieved when those firms produce 10 units of output. the minimum lat c e (for firms with exceptional operations managers) is $28.28, achieved when those firms produce 14 units of output. explain why, given only that information, it is not possible to determine the long-run equilibrium price of 5-gallon tubs of ice cream.