Inputs of a MP Inputs of b 25 40 20 36 3. 15 32 4. 10 24 20 16 7. The table gives marginal product data for resources a and b The output of these independent resources sels in a purely competitive market at $1 per unt Assuming the prices of resources a and bare $5 and $8 respectively, what is the least costly combination of resources for the firm to employ in producing 153 units of output? Multiple Choice 4 of a and 4 of b O Gof aend 2 of b 2 ofeand 3of
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- Tripod Store has been so successful in Paris that it wants to set up a new operation in Nantes. Their long-run production func tion is Q = K2/3L1/3 The rental rate of capital is $12 and the wage is $10. The market price of cameras is $6, and Tripod expects to sell 1000 per month. a. What is the opti mal allocation of capital and labor (per month) for the new loc ation? b. In add ition to the price of labor and capital, Tripod will have to pay $8000 per month in fixed costs—rent, insurance, etc. Does this change your answer to part (A) above?7 Output for a simple production process is given by Q- KL, where K denotes capital and i denotes labor. The price of inbor is $10 per unit and the price of capital is $2 per unit. If at the current level of production the marginal product of labor is 8 while the marginai product of capital is 2, then in order to minimize your costs of production you should use Multipie Choice more capital and less labor the same ahount of both inputs more labor and less capital more of both inputs.dien There are two factors in a production function y = x 113 x₂¹1³. The market price of each unit ofy is p=3, and the factor prices are w₁=1 and W₂=2 for x₁ and X₂ respectively. variable (a). Calculate your cost function as a function of y if X, and x₂ are both barible factors. (b). Now derive the functions of average and marginal cost and plot them against quantity (C). Solve for your optional output of y. Calculate the ratio of two factors (X₁/X₂) (d). In the short run the fixed factor is set at X₂=1. What is the new optimal output level now?
- Suppose Mr. Saad is a producer of Lola Loo chocolate, following is the information available of his production plant. Quantity of Labour (L) Quantity of 1 2 3 4 5 Capital (K) 10 15 25 100 50 20 30 40 50 75 50 75 100 125 150200250 300 75 90 105 120 2 30 50 62 15 If K and Lare imperfect substitutes and complements from the information above draw at least three isoquant (map) and identify the level of production. H73 4Consider a manufacturing firm in a labor market that isperfectly competitive. There are two kinds of workers: productiveworkers whose marginal revenue product is $48,000 per year, andlazy workers whose marginal revenue product is $40,000 per year. Itis difficult for the firm to differentiate between productive andlazy workers. A local college offers a new yearlong astronomy course. Althoughthe cost of tuition is the same for both types of workers, thepsychic cost of having to work hard and get a passing grade islower for productive workers because they are able to learn morequickly than lazy workers. Therefore, the cost of taking the class(including the cost of tuition as well as the psychic cost) is$5,000 per year for a productive worker and $10,000 per year for alazy worker. Because astronomy has little relevance tomanufacturing, taking the class does not increase or decrease aworker's productivity. The firm uses the class as a way to differentiate betweenproductive and lazy…Consider the input output table below Table (Inter) final Total (Agric) (Manuf) (Mining)demand (Inter) Agric 106 47 180 898 1231 Manuf 75 32 80 1167 1354 Mining 31 115 100 977 1223 PrimaryLabour 949 760 363 Capital 70 400 500 where: (Agric = Agriculture),( Manuf = Manufacturing),(Inter = !3! %3D Intermediate) A. Calculate the input coefficients and fill in the appropriate spaces in the table below. Use four (4) decimal places. Agric (Manuf) (Mining) Agric Manuf Mining Labour Capital
- Recently, the Boeing Commercial Airline Group (BCAG) recorded orders for more than15,000 jetliners and delivered more than 13,000 airplanes. To maintain its outputvolume, this Boeing division combined efforts of capital and more than 90,000 workers.Suppose the European company Airbus enjoys a similar production technology andproduces a similar number of aircraft but that labor costs (including fringe benefits) arehigher in Europe than in the United States.o Please explain whether workers at Airbus have the same marginal product asworkers at Boeing?Calculate the Average Total Cost for points A & B. Input (Labor) Output TFC TVC TC MC ATC AVC 4. 50 $125 $15 85 $125 $30 O A-S35 -525.83 O 4:52.80 B-5182 OA-S0.36 B-50.s OAS250 BS147 Question 4 Calculate the Average Variable Cost for points A &B Input (Labor) Output TFC TVC TC MC ATC AVC 4. 50 $125 $15 85 $125 $30 OA52.50 -4147 OAS030 -5035Suppose that labor is the only input used by aperfectly competitive firm. The firm’s productionfunction is as follows:Days of Labor Units of Output0 days 0 units1 72 133 194 255 286 297 29a. Calculate the marginal product of each additionalworker.b. Each unit of output sells for $10. Calculate thevalue of the marginal product of each worker.c. Compute the demand schedule showing thenumber of workers hired for all wages from zeroto $100 a day.d. Graph the firm’s labor-demand curve.e. What happens to this demand curve if the price ofoutput rises from $10 to $12 per unit?
- Help Save & Ext Assume that an appliance manufacturer is employing variable resources X and Y in such amounts that the MRPs of the last units of X and Y employed are $80 and $70, respectively Resource X can be hired at $40 per unit and resource Y at $60 per unit. The firm Muple Choice is producing with the les combination of X and Y but could increase its profts by employing more of Xands of fe barot raksh ma bet of y5. Cost Minimization Suppose a firm has the technology of F(K.L) 40LK Draw a graph of the firm's not at 8000 units of output (does not have to be exact). Put laboren the s-axis and capital on the y AXI What is the formals for the firm's MRTS at any level of Land K Suppose the price of labor is 5 while the price of capital is 10, and the fiem wants to produce 8000 units of output. What is the cost minimiring combination of labor and capital?11:16 Fri 10O Dec * 9 80% ... managebac-prod-china.s3.cn-north-1.amazonaws.com.cn A 22 of 46 AP Microeconomics Page 21 of 46 AP CollegeBoard Test Booklet Unit 5 Problem Set - FRQ's Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. The table below shows the short-run production function for Josh's Consulting Firm. Number of Consultants Total Product per Hour 1 21 2 43 3 66 4 88 108 6. 126 7 141 8. 151 (a) After which consultant do diminishing marginal returns begin for Josh's Consulting Firm? Explain using numbers. (b) Assume Josh's Consulting Firm sells its consulting services in a perfectly competitive market at a unit price of $2. Calculate the marginal revenue product of the fifth consultant. Show your work. (c) Josh's Consulting Firm hires…