From your knowledge of the relationships among the various production functions, complete the following table: Variable Input L Total Product Q Average Product APL Marginal Product MPL 0 0 1 2 3 4 5 6 7 二〇二二二128 30 120 20.00 24.00 15 ||||? 45 -15
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- nestion # 1: (20) (a) Suppose a Firm produce output using the production function Q=5KL. Wage rate for hiring labor 200 an hour and cost of using capital is 100 per hour. (i) Find out the optimal quantities of labor (L') & capital (K’) to produce 1000 unit of output?. (ii) Also show the result graphically and interpret. (b) Explain the concept of Isoquant and Isocost line in firm theory. Mathematically derive the slope of isocost line and Isoquant and interpret.When the quantity of a variable input is increased from 3 units to 4 units the total output increases from 70 units to 85 units the marginal product of the variable input is 15 units? True/FalseThe short-run production function for a manufacturer of portable power banks is shown at the right. Based on this information, calculate the average product at each quantity of labor. (Your answers should be whole numbers.) Input of Labor (workers per week) 0 Total Output of Portable Power Banks Average Product -0 1 2 3 4 28 5 30 6 30 222233. 10 18 24
- 2-1 Consider the production function Y = X+4x2 – 0.2x3 a. Derive the exact marginal physical product and average physical product equationsA firm has the following production function: Q = 9L2/3K1/3 Where Q is output, L is labor and K is Capital. Where Q is output, L is labor and K is Capital. (a) What sort of returns to scale characterize this production function? (b) Derive the marginal product of labor and capital. (c) What do we mean when we say the production function is linearly homogenous?Graphically Represent and analyze the interrelationship between the short run costs Units TFC TVC TC AFC AVC AC MC 0 24 0 1 24 28 2 24 54 3 24 75 4 24 96 5 24 126 6 24 168 7 24 214 8 24 264.
- The accompanying table shows the total daily output for a firm producing specialty cakes and operating with a fixed amount of capital. The cost of labour is $200 per unit per day and the fixed cost of the capital is $1500 per day. Click the icon to view the table. 24 28 8 12 16 20 Complete the last four columns of the table. Units of Labour Total Output (per day) (per day) 4 200 24 2450 28 2510 500 1200 1950 2330 2450 $ 1500 2510 $ 4800 $ 1500 $ 5600 TFC TVC $6300 $ 7100 TC MC $ 2.67 $ 1.14 $ 1.07 $ 2.11 $6.67 $ 13.33 AFC $7.5 $3 $ 1.25 $ 0.77 $ 0.64 $ 0.61 AVC $4 $3.2 $2 $ 1.64 $ 1.72 $ 1.96 ATC $ 11.5 $6.2 $ 3.25 $ 2.41 $ 2.36 $ 2.57 $ 2.23 $0.6 (Round your responses to the nearest cent.) b. Assuming that labour is only hired in increments of 4 units, what is this firm's capacity level of output? per day $ 2.83The amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. Based on past data, the following production schedule was developed: CREW SIZE (NUMBEROF WORKERS) AMOUNT OF FISH CAUGHT PERWEEK (HUNDREDS OF LBS) 2 3 4 5 6 7 8 9 10 11 12 3 6 11 19 24 28 31 33 34 34 33 a. Over what ranges of workers are there (i) increasing, (ii) constant, (iii) decreasing, and (iv) negative returns?b. How large a crew should be used if the trawler owner is interested in maximizing the total amount of fish caught?c. How large a crew should be used if the trawler owner is interested in maximizing the average amount of fish caught per worker?The amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. Based on past data, the following production schedule was developed: CREW SIZE (NUMBEROF WORKERS) AMOUNT OF FISH CAUGHT PERWEEK (HUNDREDS OF LBS) 2 3 4 5 6 7 8 9 10 11 12 3 6 11 19 24 28 31 33 34 34 33 a. Over what ranges of workers are there (i) increasing, (ii) constant, (iii) decreasing, and (iv) negative returns?b. How large a crew should be used if the trawler owner is interested in maximizing the total amount of fish caught?c. How large a crew should be used if the trawler owner is interested in maximizing the average amount of fish caught per worker? Expert Solution arrow_forward Step 1 The marginal and average product of the worker or labor is useful in calculating the amount of fish that the workers can catch as well as in the real industries also. If the company calculates the average and marginal products, the company can decide on how to…
- a) SUPPOSE A FRIM PRODUCE OUTPUT USING THE PRODUCTION FUNCTION Q= 5KL .WAGE RATE FOR HIRING LABOR IS 200 AN HOUR AND COST OF USING CAPITAL IS 100 PER HOUR. FIND OUT THE OPTIMAL QUANTITIES OF LABOR(L*) AND CAPITAL(K*) TO PRODUCE 1000 UNITS OF OUTPUT? ALSO SHOW THE RESULT GRAPHICALLY AND INTERPRET .The question is based on the following table, which provides information on the production of a product that requires one variable input. Input Total Product 0 0 1 5 2 20 3 32 4 42 5 50 6 55 7 58 8 58 9 56 With the addition of the fourth unit of input, the marginal product is Multiple Choice 10 and the average product is 42. 74 and the average product is 10.5. 10 and the average product is 10.5. 10.5 and the average product is 10.Total Fixed Total Variable Labor Output (workers) (units per day) (dollars) Cost Cost (dollars) 20 20 20 20 20 20 25 50 75 100 125 2 19 13 4. 16 1S