Assume that two companies (A and B) are duopolists that produce identical products. Demand for the products is given by the following linear demand functions: P=500-QA-QB where QA and QB are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCA = 6000+100QA TCB = 5000+120QB ai. Assume that the firms act independently as in the Cournot model, determine the long-run equilibrium output and selling price for each firm. aii. Determine the total profits for each firm at the equilibrium output found in part (ai)
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- 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?…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) (i) Company is effectively able to price discriminate in the two markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the total profits? (iii) 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) 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.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) 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. 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?…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 – P1Sri 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) Required. 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.? 2. Now consider two cases: (i) Company is effectively able to price discriminate in the two 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…
- For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. (a) Draw a large graph showing the Royal Mail’s average cost curve and itsmarginal cost curve. Show how many deliveries would be made, and at whatprice, if Royal Mail operated as a monopoly. Show the Royal Mail’s profit orloss on the graph.For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. (a) Draw a large graph showing the Royal Mail’s average cost curve and itsmarginal cost curve. Show how many deliveries would be made, and at whatprice, if Royal Mail operated as a monopoly. Show the Royal Mail’s profit orloss on the graph. (b) The government makes a law restricting the price of postage to £1. Show theeffect of this policy in the…For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. New technology changes delivery firms’ technology. Now, the minimumaverage cost is £2 at 1 million deliveries and a minimum marginal cost of £1at 0.75 million deliveries. The government removes all price restrictions andallows free entry. Describe the long-term outcome for this market, using twographs, one at the firm-level and one at the…
- For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. The government makes a law restricting the price of postage to £1. Show theeffect of this policy in the short-run in a new, large graph. The graph shouldshow the firm’s average cost, marginal cost, marginal revenue, and consumerdemand. How much postage is bought? Show on your graph if the Royal Mailis in profit or loss, and by how much.Question 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) Now consider two cases (i) Company is effectively able to price discriminate in the two markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging the same price 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…Suppose there are 500 identicsl competitivd firms producing widgets and assume the total cost curve for each firm is given as, TC= 5q2+wq+10 and marginal cost is given as MC=10q + w where w is the widget maker's wage and q is the firm's output. If w=$50 what is the equation of the firms short run supply curve? 1) what is the average firm's profit (losses) at the new price of $61? 2) is the average firm in the short-run or long run? given it's profit(losses) should the firm continue to operate? 3) what would you predict, based on the perfectly competitive model of markets, will happen in this industry in the long run?
