A market with N=20 identical firms compete on quantity (Cournot competition). The market price elasticity of demand is = -1.5, and the price elasticity of supply for N-1 of the firms is n-i = 1.5. What is the price elasticity of the residual demand curve facing firm i? O -30 O -50 O -58.5 -60
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- The Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomacs closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is 3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural resource. a. How should the analysis of the maximization of the discounted profits from selling this resource (Equation 17.63 be modified to take this fact into account? b. Suppose that the demand for the resource in question had a constant elasticity form q(t)=a[p(t)]b . How would this change the price dynamics shown in Equation 17.67? c. How would the answer to Problem 17.7 be changed if the entire crude oil supply were owned by a single firm?Return to Figure 9.2. Suppose P0 is 10 and P1 is 11. Suppose a new firm with the same LRAC curve as the incumbent tries to bleak into the market by selling 4,000 units of output. Estimate from the graph what the new firms average cost of producing output would be. If the incumbent continues. to produce 6,000 units, how much output would the two films supply to the market? Estimate what would happen to the market price as a result of the supply of both the incumbent firm and the new entrant. Approximately how much profit would each firm earn? Figure 9.2 Economics of Scale and Natural Monoploy
- Assuming you are the managing director of a firm that produces three goods: A, Band C. The price elasticity of demand for A is 1.2, for B it is 1.00 and for C it is 0.75.It is known that he firm is experiencing serious cash flow problems and you have toincrease total revenue as soon as possible. If you were in a position to set the pricesfor these goods, what would be your pricing strategy for each productAssume that a firm accepts the following price_demand relationship as being a realistic representation of its market: d=800-10p where p must be between $20 and$70 a. How many units can the firm sell at the $20 per-unit price? At the $70 per-unit price? b. By how many units does a $1 increase decrease demand? c. Which pricing alternative the business is considering maximizes revenue? Group of answer choices $40 $30 $50The Dolan Corporation, a maker of small engines, determines that in 2012 the demand curve for its product is P = 2,000 - 50Q where P is the price (in dollars) of an engine and Q is the number of engines sold per month. a. To sell 20 engines per month, what price would Dolan have to charge? b. If managers set a price of $500, how many engines will Dolan sell per month? c. What is the price elasticity of demand if price equals $500? d. At what price, if any, will the demand for Dolan’s engines be of unitary elasticity? Only typed answer and don't use chat gpt
- Suppose the European Union (EU) was investigated and proposed a merger between two of the largest distillers of premium Scotch liquor. Based on some economists’ definition of the relevant market, the two firms proposing to merge enjoyed a combined market share of about two-thirds, while another firm essentially controlled the remaining share of the market. Additionally, suppose that the (wholesale) market elasticity of demand for Scotch liquor is −1.3 and that it costs $14.20 to produce and distribute each liter of Scotch.Based only on these data, provide quantitative estimates of the likely pre- and postmerger prices in the wholesale market for premium Scotch liquor.Instructions: Do not round intermediate calculations. Enter your final responses rounded to the nearest penny (two decimal places).Pre-merger price: $ Post-merger price: $functions are given as below Q_1=1200-10P_1Q_2=800-10P_2Where Q_1 is the domestic quantity: Q_2 is the foreign quantity P_1 is the domestic price/unit P_2 is the domestic price/unitThe firms total cost function is given by; TC=0.05Q^2+10,000Required.Determine the price and quantities that maximize the firm’s profits .What is the maximum profit for the firm? Compute the price elasticities of demand in both the domestic and foreign market.Destiny cable has market power in the cable television market in particular locality. The demand curve for Destiny’s output is Qd = 10 - 0.4P P = 23 - 2.5Q Destiny's marginal revenue function is MR(Q) = 25 – 5Q. Destiny's marginal cost curve is MC(Q) = 0.53 + 0.026Q. a) Determine Destiny's profit maximizing price. b) Calculate Destiny's elasticity of demand at this price. Is demand for cable TV elastic, inelastic or unit elastic? c) Given the computed elasticity of demand, if Destiny wants to maximize profit, should it increase, decrease, or leave unchanged its current price? Why?
- Assume that annual inverse demand for a particular product is P=150-Q. The product is offered by a pair of Bertrand competitors, each with marginal costs of $75. The discount factor is 0.9. What is the current equilibrium price and total surplus? Now, assume though that if R&D is conducted at rate x, it incurs one-off costs of r(x)=10x^2 and reduces the marginal costs to (75-x). Suppose that one firm decides to conduct R&D at rate x=10. This research will be protected by a patent of T years. a) What profit(ignoring the one-off costs of R&D) does the innovating firm make each year during the period of patent protection? b) What is the new equilibrium price and total surplus once patent protection expires? c) Use your answer above to write the total surplus from the innovationA market analysis employed by the “Sad Student Company” reveals that the number oflots of the game named “Handsome Killer: Revenge of the Teacher” ordered by thewholesalers when the game is offered at a price of dollars per lot is given by the formula:p=1500-2.5qa) Find the company’s total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing therevenue as a function of price rather than of quantityNow assume that firm T faces a downward-sloping (straight-line) demand Fill in the columns for TR and MR in the table (Note that the figures for MR are entered between 0 and 1, 1 and 2, 2 and 3, etc.) The demand curve for the product of firm T Price (AR) (£) Quantity (Units) Total Revenue (TR) (£) Marginal Revenue (MR) (£) 20 18 16 14 12 10 8 6 0 1 2 3 4 5 6 7 ……… ……… ……… ……… ……… ……… ……… ……… ……… ……… ……… ……… ……… ……… ……… (b) What is the price elasticity of demand at P = £10?.................................................................... (c) Over what price range is demand price elastic?......................................................................... (d) Over what price range is demand price inelastic? ....................................................................................