Quantity Produced (units per day) Marginal Cost (per unit) 15 14 10 11 12 13 14 16 17 $4 6 8 10 12 16 18 (a) Graph the MC curve. (b) Use the data on market demand below and graph the demand and MR curves on the same graph. Quantity demanded (units per day) 10 Price (per unit) 11 12 13 14 15 16 17 $25 24 23 22 21 20 19 18 (c) At what rate of output is MR = MC?
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- 21. Maximum revenue and profit. A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72.000 + 60x P3D200 0 < x < 6,000 30 (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company $5 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge company for each set?Price and cost (dollars per student) $150 120 88 76 72 ATC 40 - MC MR 24,000 30,000 36,000 Quantity of students enroiled 15,000 Your college decides to offer a psychology course as a MOOC that can be taken by students anywhere in the world, whether they are actually enrolled in your college or not. The demand and cost situation for the MOOC is shown in the figure. The faculty member who designed the course argues: "I think the course should be priced so that the maximum number of students enroll." Which price should this faculty member favor? O A. $0 В. $40 C. $88 D. $150A large share of the world supply of cocoa beans comes from Ghana and Ivory Coast. Suppose that the marginal cost of producing cocoa beans is constant at GHC1000 per bag and the demand for cocoa beans is described by the following schedule. Price (GHC) Quantity (bags) 5000 6000 7000 8000 9000 10000 11000 12000 8000 7000 6000 5000 4000 3000 2000 1000 a) If there were many suppliers of cocoa beans, what would be the price and quantity? b) If there were only one supplier of cocoa, what would be the price and quantity? c) At a meeting in October 2017 in Accra, the leaders of the two leading producers of cocoa beans discussed the possibility of cooperating to boost the price of cocoa. If Ghana and Ivory Coast formed a cartel, what would be the price and quantity? If the countries split the market evenly, what would be Ghana's production and profit? f) What would happen to Ghana's profit if it increased its production by 1000 cocoa while Ivory Coast stuck to the cartel agreement? g) Use your…
- The accompanying graph shows the short-run demand and cost situation for a price searcher in a market with low barriers to entry. Price (dollars) 24 10 V ATC The firm will receive $ MR Quantity/time The firm will maximize its profit at a quantity of▼ units. D Options: 6, 8, 9, or 10 After choosing the profit maximizing quantity, the firm will charge a price of in revenue at the profit-maximizing quantity. The total cost of production for this profit-maximizing quantity is $ The maximum profit the firm can earn in this situation is How will the situation change over time? Options: 6,8 10, or 24 per unit for this output. O Profits will attract rival firms into the market until the profit-maximizing price falls to the level of per-unit cost. O The market will adjust until the price charged by this firm no longer exceeds marginal cost at the profit-maximizing quantity. O This market is already in long-run equilibrium, and will not change throughout time. O Losses will induce firms to leave…Question 1 Sal's Streaming Company streams TV shows to subscribers in the US and Canada. Demand is Qus 50 (1/3)Pus - QCA 80 (2/3)P CA = - where Q's are in thousands of subscriptions per year and P's are the subscription prices per year. The cost of providing Q units of service is given by TC = 1000 + 30Q, where Q = Qus+ QCA (a) What are the profit-maximizing prices and quantities for the US and Canadian markets? (b) As a consequence of a new VPN service that Facebook has developed, subscribers in Canada are now able to get the US streams and vice versa, so Sal can charge only a single price. What is the profit-maximizing single price that he should charge? (c) In which situation is Sal better off? In terms of consumers' surplus which situation do people in Canada prefer and which do people in the US prefer? Why?A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…
- 4. Profit maximization and loss minimization BYOB is a monopolist in beer production and distribution in the imaginary economy of Hopsville. Suppose that BYOB cannot price-discriminate; that is, it sells its beer at the same price per can to all customers. The following graph shows the marginal cost (MC), marginal revenue (MR), average total cost (ATC), and demand (D) for beer in this market. Place the black point (plus symbol) on the graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing its loss. 4.00 3.50 Monopoly Outcome 3.00 ATC 2.50 Profit 2.00 Loss 1.50 MC 1.00 0.50 MR 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 QUANTITY (Thousands of cans of beer) Suppose that BYOB charges $2.75 per can. Your friend Brian says that since BYOB is a…2. You are the Southeastern Michigan regional manager at Coca-Cola, responsible forproduction and pricing in the Metro Detroit area. Your primary competitor is Pepsi. The marketresearch team at Coca-Cola is thinking about launching a new product, Orange Vanilla Coke, toboost the brand. The cost function to produce a 12-pack of 12 fl. oz. cans of Orange VanillaCoke is C(qcoke) = 0.25qcoke and the market research team has estimated inverse market demandfor a 12-pack of this new “pop” in Southeastern Michigan to be P = 10.25 – 0.00025Q. a. Assuming Pepsi decides not to produce a similar product, allowing Coca-Cola to maintainmonopoly power in the market for orange vanilla cola, what price and quantity will youchoose to maximize profit? How much profit does Coca-Cola earn?b. What price and quantity you would choose to maximize profit if Pepsi spies discover yourproduct before launch, allowing Pepsi to produce and launch an identical product at the sametime. For your answer, assume the cost…13. You just got a patent for the first commercial self-driving car. The following table shows the elasticity of the demand and the marginal cost of production of your cars in several production centers across the globe. Assuming that this are constant, can you approximate what would be the optimal price for your cars? City Marginal Cost Elasticity Price Wolfburg, Germany Barcelona, Spain Tokyo, Japan Ulsan, South Korea East London, South Africa Mexico City, Mexico $20, 000 $18, 000 $22, 000 $16, 000 $10, 000 $12, 000 -1.5 $60, 000.00 $24, 000.00 $33, 000.00 $32, 000.00 $11, 428.60 $14, 400.00 -4.0 -3.0 -2.0 -8.0 -6.0
- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.4. Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these jerseys demanded weekly is related to the wholesale price per jersey p, by the following equation: p=-0.006q+15 The weekly total cost incurred by Windies Cricket for producing q jerseys is: C(q) = 38q0.02q² + 30,000 a. Determine an expression to represent the weekly Revenue function. b. Determine an expression to represent the weekly Profit function. c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit function