6. The demand and cost function for SAMURAI Ltd. are in (1) and (2). Find firm's output and total profits when government sets ceiling price per unit of $30? (1) P = 45 -0.5Q; (2) TC = 3 +57Q - 8Q? + Q

The demand function for a firm's domestic and foreignmarkets are:AT) (5.4)P¡ = 50 - 401Pa=40- 5Q2and the total cost function is:TC= 25 + 120, where Q = Qi + Q.a/ Determine the prices needed to maximize profit with and without pricediscrimination;b/ Find the maximum profit values in these two cases and give your comment.

Suppose a large of firms have cost function C(q ) = = 72+ 4q+2q 2 and the market demand Q_{D = 712 4p What is equilibrium and the long-run number of firms? (a) Q = 600 and N = 100 (b) Q 688 and V100 (c) Q = 600 and N = = 688 and N = 115 (e) None of the above 115 (d) Q

Problem 2: Presently, APlus Transport and Big Movers are the only suppliers of services that haul heavy construction equipment between jobs within the Midwest. No other suppliers have the equipment necessary to perform the service. The market inverse demand for these hauling services is given below. P = 4,030-4Q where P is price per trip and Q is total number of trips per year. For simplicity, also assume that neither firm has fixed costs. From company records, you are given the following variable cost function for each firm: a. C. TVC = 300 TVCB = 80QB b. Calculate the Cournot market equilibrium price-output solutions for each firm including their respective profits. d. Assume these two competitors operate as a two-firm Cournot duopoly. Find the reaction functions for each firm. Suppose Big Movers shuts down operations so that APlus now has a monopoly in this market. What is the price, quantity, and profits for APlus after this change? Summarize the results of your findings over the…