Chillman Motors, Inc., is an oligopolist and faces the following kinked demand curve: Price and cost ($/Unit) 200 180 160 140 120 100 80 60 40 20 0 0 10 20 30 40 50 Quantity P = 2000.4Q if 0 ≤ Q≤ 50 P = 2802Q if Q> 50 60 The demand function can be expressed algebraically as: TC = 500+50Q +0.5Q² 70 80 90 100 Chillman's total cost function is as follows: A MR MC Calculate the marginal revenue (MR) function facing Chillman and plot it on the graph using the green points (triangle symbols). (Hint: Start with (0,200) and end at (70, 0). Use all four points.) ? Using the orange line (square symbols), plot the marginal cost curve on the graph.
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- Inverse elasticity rule Use the first-order condition (Equation 15.2 ) for a Cournot firm to show that the usual inverse elasticity rule from Chapter 11 holds under Cournot competition (where the elasticity is associated with an individual firm's residual demand, the demand left after all rivals sell their output on the market). Manipulate Equation 15.2 in a different way to obtain an equivalent version of the inverse elasticity rule: pMCp=sieQ,p , where si=qi/Q is firm i's market share and eQp is the elasticity of market demand. Compare this version of the inverse elasticity rule with that for a monopolist from the previous chapter.Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one large firm—Tile King. Ajax produces a multiheaded tunnel wall scrubber that is similar to a model produced by Tile King. Ajax decides to charge the same price as Tile King to avoid the possibility of a price war. The pnce charged by Tile King is $20,000. Ajax has the following short-run cost curve: TC=800,0005,000Q+100Q2 Compute the marginal cost curve for Ajax. Given Ajaxs pricing strategy, what is the marginal venue function for Ajax? Compute the profit-maximizing level of output for Ajax. Compute Ajaxs total dollar profits.Consider any market that has a demand curve given by: Qd = 125 - 0.4P. Being the total quantity demanded in the market, given the quantity in millions of units and the market price, calculated in monetary units. Imagine that there are 2 Cournot oligopolists operating in this market that have Cmg = CVme = 2. About this market, the question is: a) What is the reaction curvature of the oligopolists? b) What will be the production of each of the companies? c) What is the sale price for oligopolists?
- Consider any market that has a demand curve given by: Qd = 240 - 2P. Where Qd is the total quantity demanded in the market, given in millions of units and P is the market price, calculated in monetary units. Imagine that there are 2 Cournot oligopolists operating in this market with Cmg = CVme = 15 and fixed monthly costs equal to 1,400. About this market, ask yourself: a) What is the reaction curve of oligopolists? b) What will be the production of each of the companies? c) What is the selling price practiced by oligopolists? d) What is the profit of each of the oligopolists? e) Imagine that one of the companies managed to implement a process innovation capable of halving its Cmg and CVme, so that they would go from 15 to 7.5. This investment implies an additional monthly expense of $1,800. Discuss the statement: "If this situation occurs, the innovative company will not implement variable cost reduction, as the quantity supplied in the market will increase very little; prices will…Consider a mature maket with a demand given by P=105.4-10Q The cost of production is given by C=10Q For many years this market has been served by a monopolist. How much profit would the firm lose if it is forced to behave as a competitive firm In all your calculations use numbers with 4 decimal places.Assume a monopolist produces rum and knows there are two groups of rum consumers, 1 and 2, with different price elasticities. Group 1 is highly price elastic with E1=-10; Group 2 exhibits a lower price elasticity of E2=-2.5. Assume the company can separate these two groups (e.g., by handing out special ID cards) and can charge two different prices. If P2=$14, how much can it charge to Group 1?
- Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function:P = 600 - QC - QDwhere QC and QD are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies areTCC = 25000 + 100QCTCD = 20000 + 125QDAssume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change).a. Determine the long-run equilibrium output and selling price for each firm.b. Determine the total profits for each firm at the equilibrium output found in Part (a).ASAP PLZ You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Qi) = 2Qi, and the inverse market demand curve for this unique product is given by P = 650 −3 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $1,800, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.)What are your profits if you do not make the investment? $ ____What are your profits if you do make the investment?Instructions: Do not include the investment of $1,800 as part of your profit calculation. $ ____ Should you invest the $1,800? multiple choice Yes - the benefits of establishing…Question AVAC is the only pharmaceutical firm producing a Vaccine. The Demand Curve for its product is Qd = 250 – 50 P where P is Price and Q are packs of vaccines in ‘000 Total Cost Function estimated by the firm is TC = 15 + 0.5Q where Q is monthly output. a. What is the market structure of AVAC? State its characteristics. b. To maximize profit, What will be the optimum price and how many packs of Vaccine should the firm produce and sell per month? If this number of packs is produced and sold, what will be the firm’s monthly profit? c. Using available information, draw AVAC’s demand, marginal revenue and marginal cost curves in a graph and clearly label thefirm’s profit maximizing price, quantity and profit. Do you observe any welfare loss? If so, also indicate and label the area on the graph. d. Assume all other pharmaceutical firms in the market start producing the Vaccine and the market becomes competitive. What will be the impact on price and marginal…
- Discuss in detail the equilibrium of a firm under monopoly.Q. 3. What do you mean by simple linear regression line. Estimate, Y , given thefollowing data:-Demand 3 4 5 6 7 9 8 10 12 14Price 16 13 10 7 7 5 4 3 4 2Qno3 AVAC is the only pharmaceutical firm producing a Vaccine. The Demand Curve for its product is Qd = 250 – 50 P where P is Price and Q are packs of vaccines in ‘000 Total Cost Function estimated by the firm is TC = 15 + 0.5Q where Q is monthly output. Required. a). What is the market structure of AVAC? State its characteristics. b). To maximize profit, i) What will be the optimum price and how many packs of Vaccine should the firm produce and sell per month? ii). If this number of packs is produced and sold, what will be the firm’s monthly profit? c). Using available information, draw AVAC’s demand, marginal revenue and marginal cost curves in a graph and clearly label thefirm’s profit maximizing price, quantity and profit. Do you observe any welfare loss? If so, also indicate and label the area on the graph.? d). Assume all other pharmaceutical firms in the market start producing the Vaccine and the market becomes competitive. What will…9.17. Number of competitors. Consider an n firm homogeneous-good oligopoly with constant marginal cost, the same for all firms. Let d ̄ be the minimum value of the dis- count factor such that it is possible to sustain monopoly prices in a collusive agreement. Show that d ̄ is decreasing in n. Interpret the result.