Determining Rent in a Market with Low-Cost and High-Cost Firms Suppose firms in a competitive market for house paints have the cost function C(q)=8+2q+2q?. The market is in a long-run equilibrium. (a) What is the price of house paint? (b) Suppose a subset of the firms in the market have developed technology that reduces their costs by 50% at any output level. That means these low-cost firms have the cost function C(q)=4+q+q?. How much additional profit do these low-cost firms earn from the technology? (c) Suppose over time, more and more firms adopt the lower-cost technology. What will be the price of paints in the long run?
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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.. An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.Can you help with this question and show all the step please. Consider a manufacturer making leather cases with a market demand function (weekly) given by P=95-Q/Q+1 +5, where Q is the number of leather cases. (A) Show that this function is consistent with the law of Demand (i.e. that when Q increases, P decreases). (B) The manufacturer has weekly fixed costs of $20 and variable costs of $5 per leather case. Formulate the profit function from this information. (C) Locate the stationary points and determine the optimal Q that maximises the profit. (Use the first derivatives test to classify any stationary point).
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- Consider a company that operates in a competitive market, with a typical set of cost curves (Marginal Cost, Average Variable Cost, Average Fixed Cost and Average Cost with typical formats of Microeconomics theory). Consider further that Marginal Costs coincide with Average Total Costs when the firm's output is 200 units of output, at a market price of 50. If market prices fall to 40, the company will produce 180 units of product to maximize its profit. If at this point the Average Fixed Costs per unit of output equals 27 per unit of output, what are your recommendations for this company in the short term? And in the long run?Consider a housing market in which the rental properties are owned by 10 price-taking compa- nies. The cost function for each company is Jo C(q) = if q ≤ 10 if q> 10. That is, each company can offer any quantity up to its available rental space 10 at no cost, but it cannot offer any more than 10. Suppose the market demand is given by D(p) = 1000 p if p 1000, (c) Determine the point-price elasticities of demand and supply and state whether at the equilibrium price, they are elastic or inelastic. (d) Suppose the government imposes a 20% value added tax on rent. Calculate the equilibrium supply of housing, and determine the price paid by tenants and the price received by housing companies in equilibrium. Does the tax hurt tenants or create a dead- weight loss? Explain your answer!A small firm operating in a purely competitive market has fixed costs of $45 per day compensates each employee $96 per day and has daily input and raw material costs as indicated in the table below. A. What would be the profit maximizing level of production if demand increased such that each unit sold for $130?, will the company make an economic profit producing this quantity of output? b: suppose the demand significantly decreased so that price for a unit of ouput sold to $115 each. What should the firm do? Why?
- Suppose you are an analyst for the Coca-Cola Company. An individuals' inverse demand for Coca-Cola is estimated to be P = 98- 4Q (in cents). If Coca-Cola is produced according to the following cost function C(Q)= 1,000+ 2Q (in cents), compute the optimal price and the number of cans to sell as a single package. O $1200 per package and 12 cans O $11.52 per package and 12 cans O $15 per package and 16.67 cans O $12 per package and 24 cansRoad Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) b. consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits? c. Analyze, with graphs, the two alternative pricing strategies available to the company.Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) A.Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market. B.Now consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits?…