Suppose all firms in a given industry have the same supply curve given by S,(p)p/4. Plot and label the four industry supply curves generated by these firms if there are 1, 2, 3, or 4 firms operating in the industry. (a) If all of the firms had a cost structure such that if the price was below $4, they would be losing money, what would be the equilibrium price and output in the industry in the long run if the market demand was D(p) 2.5? How many firms would exist in such a market? Why? (b) What if the identical conditions as above held except that the market demand was equal to D(p) 7.5-p? Now, what would be the equilibrium price and output? How many firms would operate in such a market?
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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 the profit maximizing firm sells the same good in two individual markets that it is able to keep separate. Since the price elasticity of demand is different in each market, the firm recognizes that rather than charge all customers the same price, it can increase profits by charging different prices in each of the two markets. The demand equations for each market are shown below: Market 1 P=25-2Q Demand The firm's Total Cost Function is: TC=5Q a) What is the optimal output in Market 1? b) What price will be charged in Market 1? Market 2 P=15-Q c) what is the optimal output in market d) what price will be charged in market e) what is the firm's total profit f ) illustrate your answerSuppose that each firm in a competitive industry has the following identical costs:Total cost: TC = 25+0.25Q2,where Q is an individual firm’s quantity produced.The market demand curve for this product is as follow:Demand: P=60-0.095Q,where P is the price and Q is the total quantity of the good. Currently. (i) Identify each firm’s fixed cost, variable cost, and its marginal cost.(ii) Suppose that there are 10 firms in the market. Construct the market supply function in the short run. Determine the equilibrium price and quantity. (Hint: If each firm’s supply function is Qi= a+bP then the market supply Qm can be the aggregated supply at each price as Qm = Q1+Q2+Q3+...+Qi where Qi is each firm’s supply function.)
- Assume the market for tortillas is perfectly competitive. The market supply and demand curves for tortillas are given as follows: Supply curve: P = 5Q Demand curve: P = 120 - 10Q The short run marginal cost curve for a typical tortilla factory is: MC = 20q Assuming all tortilla factories are identical, calculate the following: Equilibrium price for tortillas: __1__ Profit maximizing short run equilibrium level of output for a tortilla factory: __2__ Given profit maximizing output as above, a tortilla factory is: __3__ Total number of tortilla factories: __4__ Producer surplus of a tortilla factory: __5__The market demand for Gucci bags is given by the function P = 75 - 1.5Q. P is price per bag, and Q is output per time period. The market supply is given as P = 25 + 0.50Q. A typical competitive firm that markets this type of bag has a marginal cost of production of MC = 2.5 + 10q. a) Calculate the market equilibrium price for the bags as well as the output rate in the market. b) Calculate how much the typical firm will produce per time period at the equilibrium price. c) If all firms had the same cost structure, how many firms would compete at the equilibrium price computed in (a) above?Suppose Firm X is a dominant firm in a market where the market demand is Q = 1200 -2p. Once Firm X sets its price, those small competitors set their prices a little lower so that they can always sell up to their capacity. Assume the small firms’ combined capacity is 100 units. Further assume Firm X’s marginal cost is 50. Answer the following questions. Let Q^D be the quantity produced by the dominant firm. Write down the residual demand function faced by Firm X. (Hint: Think about how Q and Q^D are related.) Find Firm X’s profit-maximizing price.
- Consider a competitive market in which the market demand for the product is expressed as P = 75 ‑ 1.5Q, and the supply of the product is expressed as P = 25 + 0.50Q. Price, P, is in dollars per unit sold, and Q represents rate of production and sales in hundreds of units per day. The typical firm in this market has a marginal cost of MC = 2.5 + 10q. Determine the equilibrium market price and rate of sales (output). Show your working. Determine the rate of sales (output) of the typical firm, given your answer to part (i) above. If the market demand were to increase to P = 100 ‑ 1.5Q, what would the new price and rate of sales in the market be? What would the new rate of sales (output) for the typical firm be?. Show your working If the original supply and demand represented a long‑run equilibrium condition in the market, would the new equilibrium (iii) represent a new long‑run equilibrium for the typical firm? ExplainSuppose that the industry demand curve is given by the following quantity demanded = 100 – 0.5 output. In equilibrium, the market price is equal to 6 pesos per unit. q TR MR TFC TVC TC AC AVC AFC MC Profits 0 10 1 5 2 3 3 2 4 1 5 2 6 3 7 4 8 5 9 6 10 7 11 8 Assuming that the firm operates in a perfectly competitive market, supply the missing values in the table above. You may use a spreadsheet program to compute the values but must provide a step-by-step…The two side by side graphs are for two firms that between them supply all the original grown advocados for a local area. With vigorous competition between the firms, the price per pound has settled at a point where both firms are just breaking even. For each firm, the marginal cost (mc) average variable cost (avc) and average total (atc) curves are shown In the blank graph below, use the straight line tool to draw a straight line representing the short run market supply curve for quantities above zero. (that is Dont worry about operating points for which the quantity is zero)
- 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…Suppose that the firm operates in a perfectly competitive market. The market price of his product is$10. The firm estimates its cost of production with the following cost function: TC=10q-4q2+q3 A. What level of out put 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?Consider a homogeneous goods industry where two firms operate and the linear demand is given by p(y1 + y2 ) = a - b(y1 + y2 ), where p is the market price, and y1 (y2) is the output produced by firm 1 (2). There are no costs for firm 1 or firm 2. A. What is the industry output? B. Suppose the inverse demand curve in a market is D(p) =a-bp, where D(p) is the quantity demanded and p is the market price. Firm 1 is the leader and has a cost function c1(y1)=cy1 while firm 2 is the follower with a cost function c2(y2 )= y^22/2 (image of function attached). Firm 1 sets its price to maximise its profit. Firm 1 correctly forecasts that the follower takes the price leader’s chosen price as given (price taker) and chooses output so as to maximise its own profit. Write down the profit function of the follower. Calculate the profit maximising quantity that the follower selects given the leader’s chosen price p (i.e., calculate the follower’s supply curve S(p)). Interpret the solution to the…