1. If the average cost function of a firm producing a good in perfectly 40 competitive industry is AC = 2Q +9+, where Q is output level and the industry price is given to be P = $25. a) Derive the short-run supply curve for this firm b) Calculate the optimal level of production by this firm. c) Find the maximum profit of the firm. d) Should the firm produce in the short run or shut down? Justify.
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- Suppose the competitive tablet market is in long-run equilibrium. If at this equilibrium, the typical firm produces 20,000 tablets per month, total costs for this production are $1,800,000, and the minimum of the average variable costs is $70, what price will Instructions: Enter your responses as a whole number. a. induce entry into the market? When the price rises above $ b. cause firms to shut down production in the short run?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 and the equilibrium price to supplying in that market on the right. In the long run, we should expect new firms to enter the market; increase existing firms to exit the market; decrease new firms to enter the market; decrease existing firms to exit the market; increaseAssume that a firm in a competitive market faces the following cost information. If the market price for this firm's product is $40, calculate the profit maximizing level of output for this firm using marginal analysis. It may help to create your own cost table and fill in columns for Marginal Cost and Average Total Cost based on the Total Cost information below. a.What is the level of profit for this firm at the profit maximizing output? b.To convince yourself that the quantity you found is indeed the profit maximizing quantity, try calculating what the profit would be at the next higher level of output. What did you find? c. What do you predict will happen in this market over the long run?
- Assume that a firm in a competitive market faces the following cost information. If the market price for this firm's product is $40, calculate the profit maximizing level of output for this firm using marginal analysis. a.Approximately where do you think the price will end up in this market over the long run? b.Last, instead of assuming a given price, how would you go about finding the equilibrium price if you were given information on market demand?Suppose the quantity of apples supplied in yourmarket is 2,400. If there are 60 apple producers,each with identical cost structures, how manyapples does each producer supply to the market?(a) Let the industry producing soybeans be in a long-run equilibrium. What is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel of soybeans? (b) Suppose that the demand for soybeans drops due to decreased im- port by China and becomes Q = 15.3 − p. In a new long run equilibrium, what is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel? (c) Calculate the change in the producers’ surplus between the situations described in (a) and (b). (d) Show that the decrease in the producers’ surplus equals to the decrease in the total shipping fees as the industry contracts incrementally from the equilibrium output in (a) to the equilibrium output in (b).
- Suppose the short run market price a competitive firm faces is Birr 9 and the total cost of the firm is: TC = 200 + Q + 0.02Q 2 . Answer the questions that follow. (A) Calculate the short run equilibrium output and profit of the firm. (B) Derive the MC, ATC, and AVC and calculate the values at the short run equilibrium output. (C) Calculate the producers’ surplus at the equilibrium output. (D) Find the output level that will make the profit of the firm zero.1) When the market price is 10, MC=2q where q is quantity. Suppose the firm choose not shutting down, how many units of output will the firm produce? A) 10 B) 2 C) 5 D) 1 2)When the market price is 10, MC=2q where q is quantity. Suppose ATC=5 and AVC=3, will the firm shut down? How much is the profit? A) Shut down, Profit= - 10 B) shut down, profit=10 C)Do not shut down, profit=25 D)Do not shut down, profit=50 3) When the market price is 2, MC=2q where q is quantity. Suppose ATC=5 and AVC=3, will the firm shut down? How much is the profit? A) Shut down, profit= - 3 B) Shut down, profit= - 2 C) Do not shut down, profit= - 3 D) Do not shut down, profit=-2Suppose that each firm in a competitive industry has the following costs: Totalcost:TC=50+1/2q2 Marginalcost:MC=q where q is an individual firm's quantity produced. The market demand curve for this product is Demand:QD=120−P where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market.a. What is each firm's fixed cost? What is its variable cost? Give the equation for average total cost.b. Graph average-total-cost curve and the marginal-cost curve for qfrom 5 to 15. Atwhat quantity is average-total-cost curve at its minimum? What is marginal cost and averagetotal cost at that quantity?c. Give the equation for each firm's supply curve.d. Give the equation for the market supply curve for the short run in which the number of firms is fixed.e. What is the equilibrium price and quantity for this market in the short run?f. In this equilibrium, how much does each firm produce? Calculate each firm's profit or loss. Is there incentive for firms to…
- The graph below depicts the cost structure for a firm in a competitive market. Price P4 P3 P₂ P₁ PPPP I MC AVC Q₁ Q₂ Q3 Q4 When prices rise from P2 to P3 the firm finds that: a. marginal cost exceeds marginal revenue at a production level of Q2. b. if it produces at output level Q3 it will earn a positive profit. c. expanding output to Q4 would leave the firm with losses. d. it could increase profits by lowering output from Q3 to Q2. ATC QuantityPS4.2 (a) What Optimal Level of Output (q*) will a Firm Produce given the following? MC(q) = 3 + 2q Price (P) = $9 MC → Marginal Cost q→ Quantity (b) What is a Firm's Producer Surplus assuming the following? Area of Triangle = 1/2* Base * Height (c) Will a Firm be Earning a Positive, Negative, or Zero Profit in the Short-Run given the following? AVC (q) =3+q FC = $3 AVC → Average Variable Cost FC Fixed CostThe table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC ATC of Ear Buds ($) ($) 20 1.00 25 2.00 1.20 30 2.46 1.41 35 3.51 1.71 40 4.11 2.01 45 5.43 2.39 50 5.99 2.75 55 8.47 3.27