Consider a perfectly competitive market with 1000 firms. The cost function of each firm is C(q) = 0.025q +200. The total demand in the market is given by Qp=60,000-10,000P. The supply curve for each firm is given by The competitive price in this market is v. HINT: you need to first find the total market supply. Each firm is producing v units. True or False: The competitive market is in long run equilibrium.
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- A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.Suppose 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.1. Give the equation for the market supply curve for the short run in which the number of firms is fixed.2. What is the equilibrium price and quantity for this market in the short run?3. In this equilibrium, how much does each firm produce? Calculate each firm's profit or loss. Is there incentive for firms to enter or exit?4. In the long run with free entry and exit, what is the equilibrium price and quantity in this market?5. In this long-run equilibrium, how much does each firm produce? How many firms are in themarket?The market for paperback detective novels is perfectly competitive. Market Demand is given by Q=450-6P. Market Supply is given by Q=4P-13. Suppose 21 units are bought to the market. Consider the Marginal Cost of production for these 21 units. What is the maximum Marginal Cost of production of these 21 units? Enter a number only, do not include the $ sign. Hint: 21 doesn't have to be the market quantity.
- Can you help with parts d,e and f please? 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…Consider a perfectly competitive market, where the current number of firms is 50. Each firm has one unit of capital and can product q(1, L) = √L units of output with one unit of capital at a cost v per unit, and L units of labor at a cost w per unit in the short-run. a) Find a firm's short-run supply curve, qs(p), and the industry short-run supply curve, Qs(p). b) Given the market demand, = 10000 - 50p, and the industry short-run supply curve, find the short-run equilibrium price and quantity assuming that w = 1.A firm operates in a perfectly competitive market. The market price of its product is 4 birr and the total cost function is given by TC= 1/3 Q3 - 5Q2+20Q + 50, where TC is the total cost and Q is the level of output.a) What level of output should the firm produce to maximize its profit?b) Determine the level of profit at equilibrium.c) What minimum price is required by the firm to stay in the market?
- A competitive firm’s production function is given by y= f(x1,x2)= 4x11/2 + 10x21/2 a) The price of factor 1 is 1, the price of factor 2 is 1, and the price of output is 2. Find the profit-maximizing quantities of x1 and x2? What is the profit-maximizing quantity of output? b) Redo part (a), this time by first deriving the firm’s factor demand functions and the supply function, and then substituting the prices in these functions.Assume the demand function for a product is given by QD = 20,000 – 10P + 0.4I, where P = price of the product, and I = average income of consumers. Also, assume the supply function of the product is given by QS = 30P. If the market for the product is perfectly competitive, and the average income of consumers is $10,000, what are the equilibrium price and quantity in this market?Consider a perfectly competitive market with the market demand functionQd = 1000 − 10pThere are many small, identical firms in the market. Each firm has the marginal cost function:MC = 10 + 10qand the average total cost function:ATC = 45/q + 10 + 5q(a) Suppose the equilibrium price is currently 30 (in the short run). Determine the quantity sold by eachfirm, the market equilibrium quantity, and the number of firms there must be in the market. Hint: Onceyou know the market quantity and quantity per firm, you can back out the number of firms.(b) If entry and exit is possible in the long run, determine long-run equilibrium price, quantity sold by eachfirm, the market equilibrium quantity, and the number of firms there will be
- The market for paperback detective novels is perfectly competitive. Market Demand is given by Q=305-2P Suppose we have identical book publishers, and each individual book publisher's Supply curve is given by P=4+2Q. We have 13 book publishers in the market. What is the market PRICE?. Enter a number only.A firm sells its product in a perfectly competitive market. Its total cost function is: TC = 900 - 20Q + Q2where TC is total cost and Q is output level.a. Find the firm’s average total cost function. b. Find the firm’s average variable cost function. c. Find the firm’s marginal cost function. d. Given the price is $100, what is the profit-maximizing output level? e. Given the price is $100, what is the profit level? f. Over time, is there going to be entry or exit in this competitive market? Why?Consider a perfectly competitive market characterized by a market supply equal to QS=32*P and a market demand equal to QD=400-8*P. What is the market equilibrium quantity?