Suppose that the market is comprised of a single firm, which faces a de- mand curve of P = 110 − 3Q, and total costs of T C = 500 + 9Q + 0.1Q2. (a) What quantity maximizes total revenue? (b) What would profit be if the firm produced that quantity? (c) What quantity minimizes per unit costs? (d) What would profit be if the firm produced that quantity? (e) What quantity maximizes the firm’s profit? (f) What would profit be if the firm produced that quantity

Dollars A B C 0 KDE Quantity A) K units at price C B) E units at price B H C) E units at price A F D) D units at price J Refer to the above diagram. To maximize profit or minimize losses this firm will produce: MC ATC AVC -MR

2. For the following total revenue and total cost functions of a firm: TR = 800Q – 10Q2 TC = (2/3)Q3 -30Q2 + 672Q +4000 (a) Determine the level of output at which the firm maximizes total profit (b) Calculate the profit (need step by step, please)

Market Representative Firm S1 MC A my a MR = P $3.50 - - АТС $2.50 b. AVC D1 50,000 350 400 Quantity (Q) Output (Q) The diagram above depicts overall market supply and demand on the left, and the cost curves for a representative firm supplying in that market on the right. At the price $3.50, the firm: should shutdown. O is earning a negative economic profit (loss). is making neither a profit nor a loss. It is breaking even. O is earning a positive economic profit.

The graph below depicts the cost curves faced by all firms in a particular industry. While the second graph show the total market demand (in thousands). Initially there are 500 firms. 10 B N 5 20 40 60 80 100 120 140 160 180 200 9 50 100 150 200 250 300 350 400 450 500 Demand in thousands What is the SR profit per firm? -80 240 0300 400

Demand P (q)=100-2q Total Costs C(q)=10+20q . Calculate marginal cost marginal revenue ?

2. Suppose that a market consists of 650 idetical fims, all with the same cost curve: TC(q) = 325q² + 0.3. The market demand is given by Qd(p) = 50 – p (a) What is the equilibriun price and quantity? (b) What quantity must each firm produce and sell at equilibrium? (c) Do fims make positive profits in the market equilibrium? (d) Calculate consumers' surplus, producers' surplus and total surplus. (e) The government imposes a tax of 12 per unit of the product on the suppliers. What will be the new equilibrium price and quantity? (f) Do firms make positive profits at market equilibrium? (g) What will be the new consumes surplus, produces surplus and total surplus? (h) Calculate the value of the DWL imposed by the tax.

The total revenue curve of a firm is R(q) = 40q − 12q2  and its average cost A(q) = 1/30 q2 − 12.85q + 20 +400/q, where q is the firm's output. i. Is the rate of change of profit increasing or decreasing when theouput level of the firm is 10 units?ii. Determine the level of output for which the firm's profit is maximized.iii. What is the firm's maximum profit?

I need answers of  B, C, D. Thanks

1. Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size is: q = 4000 − 250p and his total cost function is: C(q) = 500 + 0.2q (i) Derive an expression, R(q) for Teddy J′s total revenue curve.(ii) Derive an expression, Π(q) for Teddy J's profit function.(iii) Determine whether Teddy J′s profit is increasing or decreasing when he produces 5 hundred, 750ml bottles of dish washing liquid.