A firm produces two goods in pure competition and has the following total revenue and total cost functions: TR= P1Q1 + P2Q2 and TC = 2Q1² + Q1Q2 +2Q₂² Where, P1 = 12 and P2 = 18. Form the profit function and identity the critical
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- Q. The Ali Baba Co. is the only supplier of a particular type of Oriental carpet. The estimated demand for its carpets is Q = 112,000 – 500P + 5M Where Q = number of carpets, P = price of carpets (dollars per unit), and M = consumers’ income per capita. The estimated average variable cost function for Ali Baba’s carpets is AVC = 200 – 0.012Q + 0.000002Q2 Consumer’s income per capita is expected to be $20,000 and total fixed cost is $100,0000. a. How many carpets should the firm produce to maximize profit? b. What is the profit-maximizing price of carpets? c. What is the maximum amount of profit that the firm can earn selling carpets? d. Answer parts a through c if consumers’ income per capita is expected to be $30,000 instead Please answer d only.Q. The Ali Baba Co. is the only supplier of a particular type of Oriental carpet. The estimated demand for its carpets is Q = 112,000 – 500P + 5M Where Q = number of carpets, P = price of carpets (dollars per unit), and M = consumers’ income per capita. The estimated average variable cost function for Ali Baba’s carpets is AVC = 200 – 0.012Q + 0.000002Q2 Consumer’s income per capita is expected to be $20,000 and total fixed cost is $100,0000. a. How many carpets should the firm produce to maximize profit? b. What is the profit-maximizing price of carpets? c. What is the maximum amount of profit that the firm can earn selling carpets? d. Answer parts a through c if consumers’ income per capita is expected to be $30,000 instead.PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC Given above costs can you determine what will be the firm’s production in Stage 1? What is the breakeven price and breakeven quantity for this firm? What is the shutdown price and quantity for this firm? Draw the firm’s costs in a graph as per your determination in (a). Label the breakeven and shutdown price and quantity using information in (b) and (c) above. Given the market price of Pak$ 50 how many units should the firm produce? how many firms are competing in this market in short-run? How many firms will be in the industry in the long-run? How do you interpret the profit or loss condition of PakPerfect? Use a two-panel graph of the Market and…
- Quantum Footwear is an MNE that manufactures inexpensive shoes. Quantum outsources portions of its production to independent companies located in Bangladesh and India where child labor is common. Other clothing and footwear firms have recently faced criticism regarding the use of child labor, and Quantum executives want to avoid similar problems. Which of the following would be the best approach for Quantum? improving conditions at the subcontract facilities developing an external ethics code for foreign partners and letting them worry about compliance requiring local governments to alter their labor policies leaving the market and focusing on domestic productionThe market demand for a monopoly firm is estimated to be: Qd= 100,000 − 500P + 2M + 5,000PR where Qd is quantity demanded, P is price, M is income, and PR is the price of a related good. The manager has forecasted the values of M and PR will be $50,000 and $20, respectively, in 2021. The average variable cost function is estimated to be AVC = 520 − 0.03Q + 0.000001Q2 Total fixed cost in 2021 is expected to be $4 million. The profit-maximizing price for 2021 is a. $260. b. $560. c. $520. d. $80. e. $100A price-setting firm faces the following estimated demand and average variable cost functions: Qd= 800,000 − 2,000P + 0.7M + 4,000PR AVC = 500−0.03Q + 0.000001Q2 where Qd is the quantity demanded, P is price, M is income, and PR is the price of a related good. The firm expects income to be $40,000 and PR to be $53. Total fixed cost is $2,600,000. What is the profit-maximizing choice of output? a. 8,000 units b. 20,000 units c. 0 units, the firm shuts down d. 10,000 units e. 12,000 units
- The Rocky Mountain Publishing Company isconsidering introducing a new morning newspaper inDenver. Its direct competitor charges $0.25 at retailwith $0.05 going to the retailer. For the level of newscoverage the company desires, it determines the fixedcost of editors, reporters, rent, pressroom expenses,and wire-service charges to be $300,000 per month.The variable cost of ink and paper is $0.10 per copy,but advertising revenues of $0.05 per paper will begenerated. To print the morning paper, the publisherhas to purchase a new printing press, which will cost$600,000. The press machine will be depreciatedaccording to a seven-year MACRS class. The pressmachine will be used for 10 years, at which time itssalvage value would be about $100,000. Assume 300issues per year, a 40% tax rate, and a 13% MARR.How many copies per day must be sold to break evenat a retail selling price of $0.25 per paper?Economic Profit and Employee Productivity; Service Industries A recent Harvard Business Review article points out a new way to calculate economic profit that could be more appropriate for service firms and other “people-intensive” companies. Instead of focusing on investment and return on invest- ment, the focus is on employee productivity, both in terms of generating revenues and reducing costs. The approach is to first determine economic profit in the conventional way, except that we ignore taxes, so that economic profit is before tax, as follows: Economic profit = Operating profit Capital charge Assume the following information for a hotel chain that wishes to adopt the new method. The firm has…A company manufacturing medical personal protective equipment (PPE) in your province is regulated by the provincial government. The firm has total assets of $500,000. The revenue function for its output has been estimated as:R (Q) = 250Q – $0.15Q2. The cost function is estimated as:TC = $25,000 + $10Qa. If the company were unregulated, what price would it charge, what outputwould it produce, what would its profit be, and what rate of return would it earn over its assets? What will be its marginal revenue at the unregulated price? (Note: You can obtain the inverse demand equation from the revenue function realizing that price equals revenue (R (Q) per unit).b. Thefirmhasproposedchargingapriceof$100foreachunitofoutput.Ifthis price is charged, what will be the total profits and the rate of return earned on the firm’s asset base?c. The government has ordered the firm to charge a price that will provide the firm no more than a 10 percent return on its assets. What price should the firm…
- The difference between economic profit and accounting profit is equal to: zero implicit and explicit costs. implicit and explicit revenues. implicit revenues minus implicit costs.Bavarian Crystal works designs and produces lead crystal wine decanters for export to international markets. The production manager of Bavarian crystal works estimates total and marginal production cost to be: TC= 10,000+40 Q + 0.0025Q^2 And MC equals 40+0.005Q where cost are measured in US dollars in cuteness and number of wine decanters produced annually. Because Bavarian crystal works is the only one of many Christian producers in the world market, it can sell as many of the decanters it wishes for $70 apiece. Total and marginal revenue are: TR=70 Q and MR = 70 what is the optimal level are production of wine decanters? What is a marginal revenue from the last wine decanters sold? What part of total revenue, total costs, and net benefit (profit) from selling the optimal number of wine decanters? At the optimal level of production of decanters, extra decanted can be so for $70, thereby increasing total revenue by $70. Why does the manager of the firm not produce and sell one more…The Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost perbarrel is $16. Price is related to demand according to the following linear equation.v -75,000 1,153.8pDevelop the nonlinear profit function for the brewery and determine the price that will max-imize profit, the optimal volume, and the maximum profit per year.