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- Return to Figure 9.2. Suppose P0 is 10 and P1 is 11. Suppose a new firm with the same LRAC curve as the incumbent tries to bleak into the market by selling 4,000 units of output. Estimate from the graph what the new firms average cost of producing output would be. If the incumbent continues. to produce 6,000 units, how much output would the two films supply to the market? Estimate what would happen to the market price as a result of the supply of both the incumbent firm and the new entrant. Approximately how much profit would each firm earn? Figure 9.2 Economics of Scale and Natural MonoployHighFlyer Airlines wants to build new airplanes with greatly increased cabin space. This will allow HighFlyer Airlines to give passengers more comfort and sell more tickets at a higher price. However, redesigning the cabin means rethinking many other elements of the airplane as well, like engine and luggage placement, and the most efficient shape of the plane for moving through the air. HighFlyer Airlines has developed a list of possible methods to increase cabin space, along with estimates of how these approaches would affect the planes operating costs and ticket sales. Based on these estimates, Table 13.5 shows the value of R, how much should the firm invest in R on top of the private return; that is, an R private return to HighFlyer Airlines would have a 9 social return. How much investment is socially optimal at the 6 interest rate?Suppose that the market price increases to 6, as Table 8.14 shows. What would happen to the profit-maximizing output level?
- A tuition agency hires tutors to teach students. The following table displays how total outputincreases as tutors increase.No. of Tutors 1 2 3 4 5Total No. ofStudents4 10 18 24 3Tutors cost $50 each regardless of how many students each tutor has. The agency paid $500 in non-refundablemarketing fees to set up the business as a fix cost. In the short run, considering the shut-down condition, whatis the lowest price per student Tom’s tuition agency can charge? Explain your answer.A firm produces two different kinds, A and B, of a commodity. The daily cost of producingx units of A and y units of B isC(x, y) = 2x2 − 4xy + 4y2 − 40x − 20y + 514Suppose that the firm sells all its output at a price per unit of $24 for A and $12 for B. Findthe daily production levels x and y that maximize profit. (Be sure to show your first andsecond order conditions.)It costs $250 to produce an X-Box. We are trying todetermine the selling price for the X-Box. Prices between$200 and $400 are under consideration, with demand forprices of $200, $250, $350, and $400 given below. SupposeMSFT earns $10 in profit for each game that an X-Boxowner purchases. Determine the optimal price andassociated profit for the case in which an average X-Boxowner buys 10 games. Console Price ($) Demand200 2.00E06250 1.20E06350 6.00E05400 2.00E05Unit cost $250
- Max barbershop is considering raining prices by $5 per haircut. Their current price for a cut is $23 abd babers receive 50% of the revenues for each haircut. Since Max is concerned about demand dropping due to the price increase, he is also planning to start advertising the shop on TV for $895 month. If current fixed cost are $11,576/month the current profit is $2000/month by what percent can demand decrease at the new price level and maintain current levels of profit on the business?1. Mzanzi-Ndizvo (Pty) is a vaccine manufacturing company that has the following costs ofproduction. Cost of capital is R50 000, labour cost is R30 000, and the total cost the firm is willing to pay is R300,000. Identify the type of this production function and Illustrate it with a 2D graph. 2. If the demand and supply curve for cell phones is given by: D = 80 - 4P, S = 40 + 6P In a market with a price of P for smartphones, compute the number of phones that would be bought and sold at equilibrium.Maximize profit 4D + 3WWith constraintsTime 3D + 2W ≤ 150Cost 2D + 4W ≤ 220D, W ≥ 0 We saw the best point was (20, 45) with profit 215. Use this problem and the notes to answer the following (except part 4):1 write true or false and then explain either response to this – the range of optimality on the D variable refers to how much the value 20 in the best point can go down or go up and this point is still the best,2 write true or false and the explain either response to this – the range of feasibility of the time constraint refers to the value 150 and how much if can change and the best point is still (20, 45),3 write true or false and explain either response to this – the shadow price of .125 on the cost constraint means that if the right hand side of the constraint (the 220) is anywhere between 100 and 300 then each 1 unit increase in this RHS (say from 100 to 101) will increase profit by 12.5 cents and any 1 unit decrease in this RHS will decrease profit 12.5 cents,4 write true or…
- You are working for the chiefeconomist at Microsoft. Microsoft’s only significantcosts to producing and distributing a new version itit’s operating system is $30,000 in wages to itsemployees, $15,000 in computer testing, and$5,000 in utilities. Microsoft’s marketing department estimates that thedemand a new version it it’s operating system is Q = 320 – 0.5 P, with Pmeasured in dollars.What price should Microsoft charge for a new version it it’s operatingsystem? What profit should Microsoft expect?A company is considering building a bridge across a river. The bridge would cost $2 million to build and nothing to maintain. The following table shows the company's anticipated demand over the lifetime of the bridge: Price Quantity (Dollars per crossing) (Thousands of crossings) 8 0 7 100 6 200 5 300 4 400 3 500 2 600 1 700 0 800 If the company were to build the bridge, its profit-maximizing price would be $ ? , and it ( would or would not)? produce the efficient level of output. If the company is interested in maximizing profit, it (should , or should not)? build the bridge because profit would be . (Note: If the company incurs a loss, be sure to enter a negative number for profit.) If the government were to build the bridge, it should charge a price of $ ? True or False: The government should build the bridge. True or FalseA food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: Cereal: C = 28WC – 1.5WC2 Bread: B = 66WB – 2WB2 Constraint: WC + WB = 7,058 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 7,058 units of raw wheat available. How much wheat should go to the cereal (WC)? Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.