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- 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?Apparel manufacturer Nike produces high-end and low-end versions of their running shirts. They estimate that the demands for their products are given by: High-end shirts: P = 130 - 2QH , andLow-end shirts: P = 80 - QL, where Q is measured in 1000 shirts, "H" denotes High-end and "L" denotes Low-end Both types of shirts are produced on the same production line in the same facility, so the marginal cost of producing and selling both types of shirts is constant at $30. Supposing that (i) the two demands are independent and (ii) Nike can produce and market the shirts such that the high- and low-end markets are successfully segmented, what are the profit-maximizing prices Nike would charge for each version?Answer Options:a) by the midpoint rule, PH = $65 and Pl = $40b) PH = $80 and PL = $55c) Nike will set price equal to marginal cost for both versionsd) PH = $130 and PL = $80Wakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium. 5. Compute the mark up price on each market and interpret the results.
- Bosch claims to be the leader in terms of energy efficiency in the washing machine market and produces a special-design motor that is used in the manufacturing of its washing machines. The market demand and the total cost for Bosch’s washing machines are estimated as follows: P = 3,200 – 0.20Q TCwashing machine = 60,000 + 1,280 Q + TCMotor In this equation, Q is the number of washing machines sold per month, P is the TL price of washing machines, TCMotor is Bosch’s total cost of manufacturing the special-design motors in TL. In addition, TCMotor is estimated to be TL160 per motor without any additional fixed costs. a. As a result of its special design, the motors can be used only in the manufacturing of Bosch washing machines with no external market. Determine the profit-maximizing number of washing machines Bosch should manufacture and sell. Explicitly state the transfer price that Arçelik should set for the special-design motors.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.Answer b and c 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? c. Analyze,…
- James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 900 + 50Q, Q = Q1 + Q2 Where Q1 and Q2denote the quantities of rolls and pies respectfully. If P1 and P2 denote the corresponding prices, the inverse demand equations are. Q1 = 70 - P1 and 0.5Q2 = 100 - P2 a)If James decides to make a total of 48 rolls and pies per day and charges different prices as above (that is, P1 ≠ P2 ), how many of rolls and pies each should he make in order to maximize the profit of a particular day? Estimate and interpret the Lagrange Multiplier λ [note: assume second-order conditions are satisfied]. b)Using your knowledge of input-output tables, explain which components of the economy will be affected if all convenience stores, including James’, closed down for three months due to the COVID-19. What would…Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in these two 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? Analyze, with graphs, the two alternative pricing…Bitcom, a manufacturer of electronics, estimates the following relation between marginal cost of production and monthly output: MC= $150+ 0.005Q Assume Bitcom operates as a price taker in a competitive market. What is this firm’s profit-maximizing level of output if the market price is $175? Can it be done in Excel?
- Moses Inc. is a small electric company that provides power to customers in a small rural area in the Southwest. The company is currently maximizing its profits by selling electricity to consumers at a price of $0.15 per kilowatt-hour. Its marginal cost is $0.05 per kilowatt-hour, and its average cost is $0.15 per kilowatt-hour. A government regulator is considering a proposal to regulate the firm’s price at $0.05 per kilowatt-hour. Would such a policy improve social welfare? ExplainThe price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)Consider a computer hardware production firm with total cost function TC = 2200+480Q+20Q2, and market demand function Qd = 190 – 2P; Q is output and P is market price. (a) Determine the firm’s Total Cost when it produces 120 units of output. (b) Determine the firm’s Marginal Cost when it produces 120 units of output. (c) Determine the firm’s Average Cost when it produces 120 units of output. (d) Find the market price of the firm’s output when it sells 120 units of output. (e) Determine whether the firm makes profit, or loss, at 120 units of output.