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- Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)What are the total costs of producing 300 LCD screens per dayA certain electronics manufacturer found that the cost C to produce x DVD/Blu-ray players can be found using the 0.04x? + 8x + 800. If the marginal cost equation C were $19.2, how many DVD/Blu-ray players were produced?
- An Accra Chemical Factory discharges waste products into a river. These wastes kill many tilapia that are swimming upstream to spawn. While there will no doubt be other ecological damages from the chemical effluent, we wish to focus on those of the fishery. Let E be the tonnes of chemical effluent discharged per month. The equation for Marginal Damages (MD) is MD = 6E. The firm’s Marginal Abatement Cost (MAC) is given by MAC = 800 – 10E. a. Sketch the MD and MAC functions graphically on the same axes. b. Suppose E0 is the point where MAC = 0. Find the total damages (TD) to fishery by the factory per month.An Accra Chemical Factory discharges waste products into a river. These wastes kill many tilapia that are swimming upstream to spawn. While there will no doubt be other ecological damages from the chemical effluent, we wish to focus on those of the fishery. Let E be the tonnes of chemical effluent discharged per month. The equation for Marginal Damages (MD) is MD = 6E. The firm’s Marginal Abatement Cost (MAC) is given by MAC = 800 – 10E. a. Suppose the government invokes a liability law that requires polluters to compensate those damaged in an amount equal to the damages caused. Will the factory change its emission levels in response to the liability laws? Explain. b. If E* is the socially efficient level of emission, prove that reducing effluent to E* is a better strategy for the chemical factory than not reducing waster discharged and staying at E0.Consider an airline’s decision about whether to cancel a particular flight that hasn’t sold out. The following table provides data on the total cost of operating a 100-seat plane for various numbers of passengers. Number of Passengers Total Cost (Dollars per flight) 0 35,000 10 55,000 20 65,000 30 67,000 40 68,000 50 68,500 60 69,000 70 70,000 80 70,500 90 70,800 100 70,900 Given the information presented in the previous table, the fixed cost to operate this flight is ___. . At each ticket price, a different number of consumers will be willing to purchase tickets for this flight. Assume that the price of a flight is fixed for the duration of ticket sales. Use the previous table as well as the following demand schedule to complete the questions that follow. Price Quantity Demanded (Dollars per ticket) (Tickets per flight) 800 0 600 20 450 80 150 100 Complete the following table by computing total…
- The cost of producing 5-gallon water bottles is given by C(q) = 0.005q2 + 2q + 1000. If 2000 5-gallon water bottles are produced, fint the marginal average costshow solution An oil refinery produces one base type of crude oil. The total cost is given by the equation Total Cost, TC = 50,000+20.2D +0.0001D2. The sales price in dollars per barrel is 35. At what level of production in barrels/week is cost/barrel minimum? What is the minimum cost per barrel? What is the maximum weekly profit that the company can make? At what level of production is the maximum weekly profit attainable? and Over what range of production is profit possible? Express answers in whole numbers and write the numerical values only.Suppose that the dollar cost of producing x appliances is c(x) = 1000 + 70x-0.1x². a. Find the average cost per appliance of producing the first 100 appliances. b. Find the marginal cost when 100 appliances are produced. c. Show that the marginal cost when 100 appliances are produced is approximately the cost of producing one more appliance after the first 100 have been made, by calculating the latter cost directly. CUCKO The average cost per appliance of producing the first 100 appliances is $ (Round to the nearest cent as needed.) /appliance.
- 11.2 The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 3,000x + 0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = Use it to estimate how fast the cost is increasing when x = 4. thousand dollars per television commercialCompare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is $ . Thus, there is a difference of $ . (b) Find the average cost function C, and evaluate C(4). HINT [See Example 2.] C(x) = C(4) = thousand dollars per television commercial What does the answer tell you? The average cost of airing the first four commercials is $ per commercial.Consider an airline's decision about whether to cancel a particular flight that hasn't sold out. The following table provides data on the total cost of operating a 100-seat plane for various numbers of passengers. Total Cost Number of Passengers (Dollars per flight) 25,000 10 35,000 20 40,000 30 43,000 40 45,000 50 46,000 60 47,000 70 47,700 80 48,000 90 48,200 100 48,100 Given the information presented in the previous table, the fixed cost to operate this flight is $ At each ticket price, a different number of consumers will be willing to purchase tickets for this flight. Assume that the price of a flight is fixed for the duration of ticket sales. Use the previous table as well as the following demand schedule to complete the questions that follow. Price Quantity Demanded (Dollars per ticket) (Tickets per flight) 700 550 40 200 60 100 100 Complete the following table by computing total revenue, total cost, variable cost, and profit for each of the prices listed. (Hint: Be sure to…Please I need help on the math question I don't ge it Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.005x3+0.07x2+15x+600, and currently 35 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=35? c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. d) What would be the actual additional monthly cost of increasing production to 37 chairs monthly?