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- Based on Zangwill (1992). Murray Manufacturing runs a day shift and a night shift. Regardless of the number of units produced, the only production cost during a shift is a setup cost. It costs $8000 to run the day shift and $4500 to run the night shift. Demand for the next two days is as follows: day 1, 2000; night 1, 3000; day 2, 2000; night 2, 3000. It costs $1 per unit to hold a unit in inventory for a shift. a. Determine a production schedule that minimizes the sum of setup and inventory costs. All demand must be met on time. (Note: Not all shifts have to be run.) b. After listening to a seminar on the virtues of the Japanese theory of production, Murray has cut the setup cost of its day shift to $1000 per shift and the setup cost of its night shift to $3500 per shift. Now determine a production schedule that minimizes the sum of setup and inventory costs. All demand must be met on time. Show that the decrease in setup costs has actually raised the average inventory level. Is this…The weekly demand for Xbox Math-Hero video games is given by p=-110x500 where is the number of Xbox video games produced and sold, and p is in dollars. Using the Marginal Revenue function, TA), approximate the marginal revenue when 10 Math-Hero video games have been produced and sold dolar|1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)
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- For the Water Utility, it costs $50,000 per month to lease the land and equipment for the water treatment facility and pumping station and maintain the water supply system. It costs $10Q to deliver water to households (Q is thousands of gallons). The town’s monthly demand for water is QD = 5000 – 100P, where P is price. Calculate the quantity of water, the price, total revenue, total cost, total profit, marginal revenue, marginal cost, the markup, the profit margin, and marginal profit at unregulated price and quantity of water. What price per gallon will they charge?Consider a market for cars with just one firm. The firm has a linear cost functionC(q) = 2q. The market inverse demand function is P(Q) = 9 − Q, where Q is thetotal quantity produced. Since initially there is just one firm, q = Q.(a) Set up the maximisation problem for the monopolist and determine the optimalprice and quantity of cars produced. How much profit does the firm make?Ticket Price, Cost ($) 10 8 00 D₁ = Dx+DA MC = ATC MRT 20 28 38 10 0 Adult Tickets DK 6 4 MC = ATC MRK Children's Tickets 20 20 1. The Figure above describes demand and cost conditions facing the Salinas Cinema-Plex. Note that marginal costs are constant ($). The demand for Cinema-Plex movie tickets by adult patrons is given by DA and by child patrons Dk. a) Calculate total revenue from ticket sales IF the Cinema-Plex did NOT practice 3rd degree price discrimination, but rather charged a single price to adult and child patrons. b) Calculate the total number of tickets sold if the Cinema-Plex DID practice 3rd degree price discrimination. c) Calculate the change in consumer surplus (CS) received by adult patrons if the Cinema-Plex shifted from a single price to a 3rd degree price discrimination regime. d) How much (economic) profit does the Cinema-Plex stand to gain by engaging in 3rd degree price discrimination?
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