Consider a firm that produces output 8 4 F(K, L) 17K17 L17 = 15 when using K units of capital and I units of labor. It sells each unit produced for p dollars, paying r = 1.6 dollars for each unit of capital, and w = 0.6 dollars for each unit of labor How much capital and how much labor must this firm hire in order to maximize its profits Use second-order conditions to ensure that a maximum is indeed being found Is it a global maximum or only a local one?
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- Do you think that the taxicab industry in large cities would be subject to significant economies of scale? Why or why not?of 20) - Google Chrome om/mod/quiz/attempt.php?attempt3D1472585&cmid%3D718317&page=4 ystem (Academe Labor Output (units per week) (workers per week) 20 on 2 50 70 4 85 95 100 The table above gives a firm's total product schedule. Suppose labor is the only variable factor of production. The price of labor is $500 per week and total fixed costs are $600 per week. What is the marginal cost of producing the 90th unit? Select one: O a. $50.00 Ob. $24.92 O C. $31.61 Od. $10.00 Next nage us page ype here to searchItem 9 The following graph shows the marginal and average product curves for labor, the firm's only variable input. The monthly wage for labor is $2,000. Fixed cost is $120,000. | APMP 100 80 60 MP AP 60 80 100 120 140 160 20 40 Labor When the firm uses 100 units of labor, what is marginal cost at this level of output? Multiple Choices $33.33 $25 = % O $180 O $90 Ave rage aid m arginal prodictof labor 20
- A firm uses Labour (L) and Capital (K) to produce commodity (Y). The quantities of the inputs and outputs are shown in the table below. L 3 2 90 250 4 5 6. 10 K 90 90 885 90 90 90 90 90 90 90 90 Y 100 420 560 675 760 820 860 900 a. Calculate the average and marginal product of labour and plot them. What economic factors explain the shape of these curves? What is the range of output corresponding to the second stage of production? b. Assuming that the wage rate is Rs.3407- and the rental rate on capital is Rs.0.5/-, calculate the short run average variable cost, marginal cost, average fixed cost, average total cost, total variable cost, total fixed cost and total cost. Plot all these curves. c. Does the average variable cost cuts the marginal cost at the minimum point of the marginal cost? Why is this always the case? What is the relationship between the marginal cost and average variable cost in the second stage of production.SOLVE STEP BY STEP IN DIGITAL FORMAT ATTENTION: Observe carefully the data that is provided to you Consider a firm that produces output 4 3 F(K,L) 11K 11L11 = 15 dollars, 8 mm when using K units of capital and I units of labor. It sells each unit produced for p = paying r = 0.8 dollars for each unit of capital, and w = 0.45 dollars for each unit of labor How much capital and how much labor must this firm hire in order to maximize its profits Use second- order conditions to ensure that a maximum is indeed being found Is it a global maximum or only a local one?In the example presented by this graph, at what number of workers does the point of diminishing marginal product occur? The Production Function and Marginal Product Total Output 70 Total output Marginal Number (number of meals of workers served per hour) product of labor 30 10 10 15 15 9 10 Number of workers 1234 S678 30 la) 12 42 Marginal Product of Labor 10 52 15 60 10 65 67 -5 -10 123456789 10 Number of workers (b) Click to view larger image. a. Ninth worker b. Second worker С. c. Fourth worker d. Third worker
- Nimbus, Inc., makes brooms and then sells them door-to-door. Here is the relationship between the number of workers and Nimbus' output during a given day. I have completed the first two rows. Workers Output Marginal Total Average Marginal Product Cost Total Cost Cost $200 1 20 20 $300 $15 $5 2 50 30 $400 $8 $3.33 3 90 40 4 120 30 140 20 150 10 7 155 5A firm can use three different production technologies, with capital and labour requirements at each level of output as follows:Daily OutputTechnology 1 Technology 2 Technology 3K L K L K L100 3 7 4 5 5 4150 3 10 4 7 5 5200 4 11 5 8 6 6250 5 13 6 10 7 8a) Suppose the firm is operating in a high-wage country, where capital cost is $100 per unit per day and labour cost is $80 per worker per day. For each level of output, which technology is the cheapest?b) Now suppose the firm is operating in a low-wage country, where capital cost is $100 per unit per day and labour cost is $40 per worker per day. For each level of output, which technology is the cheapest?c) Suppose the firm moves from a high-wage to a low-wage country but that its level of output remains constant at 200 units per day. How will its total employment change?Suppose Die Cast Aluminum Co. is a subcontractor for the auto industry and makes specialized auto parts. There is a bracket it manufactures that it sells for $2.00. The following table shows the number of brackets that can be produced from a given number of labor hours. Assume that the company cannot hire labor for a fraction of an hour. Hours of Labor Output 1 50 2 90 3 120 4 140 5 150 155 157 6. The marginal product of labor for the first hour of labor is || (Enter your response as an integer.) The value of the marginal product of labor for the first hour of labor is. (Round your response to two decimal places.) If the wage paid to workers in Die Cast's plant is $25/hour, it should employ worker(s). (Enter your response as an integer.) If the wage paid to workers in Die Casť's plant is $35/hour, it should employ worker(s). (Enter your response as an integer.) If the wage is $25/hour, but the price of a bracket declines to $1.50, it should employ worker(s). (Enter your response as an…
- 1/3 7 Consider the production function y = (0.5/ +0.52 of producing 8 units of output per day. It pays a wage rate wi of $40 per hour and capital cost w2 of $10 per hour. How many units of labor and capital should the firm use? Suppose the firm wants to minimize the costConsider 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(2) Suppose a firm employs labor as its only variable input. All workers are paid P100 per day. Output per day and variable cost are shown in Table A below. Complete the table, showing labor, average variable cost, and marginal cost for the first eight units of output. Draw a graph showing average and marginal cost. Table A a 1 2 3 4 5 6 7 8 VC 100 400 600 800 1200 1600 2400 3200 L AVC MC