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- In a competitive market, the long-run demand is given by P = 20 - (0.01)*q Firms in the industry have as their cost structure the expression C = q3 - 5q2 + 10q. Determine: (a) equilibrium price b) Quantity produced-sold of the firm. c) What quantity is traded in the market? d) Over what time period does this market work? (short or long term?) e) What is the profit of the individual firm? f) What will be the behavior of the individual firm, will it exit or stay in the market?Question #1: Assume agricultural products are identical and there are many sellers and buyers of agriculture products:a. State the profit maximizing condition for each seller of agricultural products.b. Graphically, show the market equilibrium of the industry and a seller where economic profits equal zero. Please include marginalrevenues, demand curve, price and quantity at the equilibrium.c. From part b above, if the number of buyers increases, show the new short run equilibrium for a seller and the industry as awhole.17.A perfectly competitive firm has the following total cost function: TC = 4,500 + 2q + .0005q2 where TC is total cost in dollars and q is the quantity of output produced. a. Assume this perfectly competitive market consists of 800 firms with cost structures identical to the one above. What is the equation for the market supply curve? Assume the market demand curve is: Qd = 5,600,000 – 400,000P where Qd is the quantity demanded in the market and P is the commodity’s price in dollars. b. What is the market’s equilibrium price? c. Assuming the market is in equilibrium, using marginal revenue and marginal cost determine the firm’s profit-maximizing quantity of output? What does the profit-maximizing firm’s total economic profit equal? Assume the total cost function above: TC = 4,500 + 2q + .0005q2 is associated with the short-run total cost function that corresponds to the minimum point on the long-run average total cost curve and this is a constant cost industry. d. What would the…
- Suppose that, in a perfectly competitive industry, every firm has total cost function TC(Q)= 5million +4Q+Q²/50,000. Demand is given by D(p) - 375,000(42-2p). (a) If the industry consists of five firms, with no possibility of entry or exit, how much does each firm produce in equilibrium? (b) What is the profit of each firm? (c) How would you answer to part (a) change if there would be a possibility of entry and/or exit? Provide a sketch of how one would solve for the equilibrium outcome.PROBLEM (4) The short run market supply for shirts is QS = 50P – 1000 and the market demand isQD = 2800 – 50P Let a typical firm operating in a perfectly competitive industry has short-run total cost and marginal cost curves: TC(q) = 100 + 20q + q2 and MC(q) = 20 + 2q (a) Determine the short run market equilibrium price and quantity for this type of shirt.(b) Determine how much the typical firm will produce at the equilibrium price you found in (a).(c) If all firms had the same cost structure, how many firms should be operating in this industry at the moment? (d) Calculate the profit or loss of each firm at the short-run market equilibrium. If they are making losses, why are they still producing in the short run? In the long run, will there be entry into the market or exit from it?(e) What would the price be in the long run equilibrium, assuming constant cost industry?(f) In the long run equilibrium, how many shirts would each firm produce? What would be a firm’s net profit?(g) How…5. Suppose that market demand is described by P = 100 – (Q+q), where P is the market price, Q is the output of the incumbent firm and q is the output of a potential entrant to the market. The incumbent firm’s total cost function is TC(Q) = 40Q, whereas the cost function of the entrant is C(q) = 100 + 40q, where 100 is a sunk cost incurred to enter the market. If the entrant observes the incumbent producing Q units of output and expects this output level to be maintained, write down the equation for the residual demand curve that the entrant firm faces. If the entrant firm maximize profit given the residual demand curve in a) what output qe will the entrant produce? [Write qe as a function of Q] How much output would the incumbent firm have to produce to just keep the entrant out of the market? [That is, solve for the limit output QL.] At what price will the incumbent sell the limit output?
- 1. A firm in a perfectly competitive industry has fixed costs of FC = 15, marginal costsof MC = 5 + 14q, and average variable costs of AVC = 5 + 7q.(a) If the price is $75, how much does the firm supply? (b) Does the firm continue to supply this quantity in the short-run? (c) Suppose there exists a standard market demand function from consumers(downward slopping). Please provide a logical discussion about how the marketachieves short-run equilibrium.Assume a competitive industry is initially at its long-run equilibrium, given the inverse market demand and supply functions:p = 25000 − 0.2qd ??? Qs = 5000 + 0.3qsIf all firm in this market have identical cost structures:a) How many firms operate in this market at this point? b) What is the profit maximizing quantity produced by each competitive firm?Economics (a) The long-run cost function of the representative firm in an industry is C(q)=q3/3-2q2 +10q and the market demand function is D(p)=3600-120p. Determine the quantity supplied by the representative firm, the market price, the total sales, and the number of firms in the long-run industry equilibrium. (b) In a closed economy, the demand and the supply function for a given commodity are QD =150-2p and QS =- 50+2p, respectively. Suppose that the government provides a subsidy equal to 12 Euros per unit of quantity supplied. Determine the price the producers receive, the price the consumers pay, the total sales, and the cost to the taxpayers in the industry equilibrium with the subsidy.
- Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 0.5Q^2The market demand curve for this product is: Qd= 120 −PThere are 9 firms in the market.a) What are each firm’s: fixed cost, variable cost, marginal cost, and average total cost? Graph the average-total-cost curve and the marginal-cost curve.b) Give the equation for each firm’s supply curve.the average-total-cost curve at its minimum? What is marginal cost and average totalc) Give the equation for the market supply curve for the short run in which the numbercost at that quantity?Suppose a perfectly competitive market has firms with total cost given by c(y) = 3y2+ 10. a) What is the individual firm’s profit-maximizing output? b) If there are m firms, what is the industry supply function? c) Let the industry demand be X(p) =a−bp, where a and b are positive constants. Find theequilibrium price in the market. What is the equilibrium quantity sold?suppose there are two technologies for producing steel. under technology a, a firm’s short-run total cost curve is 1 2 ( ) 100 10 2 a stc q q q (for which ( ) 100 a smc q q ), and using technology b it is 2 () 2 6 b stc q q ( () 4 b smc q q ). assuming there are 100 firms using technology a and 400 using b, determine the short-run market supply curve.