Q3. Consider a problem of assigning workers to machines. The time in hours required to complete the task are given below. A B C D 1 12 8 14 10 2 8 - 16 14 3 6 6 10 4 4 12 12 8 Worker 2 cannot be assigned to machine B. worker 3 cannot be assigned to machine C. Find the optimum assignment schedules and total optimum time.
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- Cost curves Egidio Binaccio designed an ancestry app that allows people to connect with long lost Italian relatives. Egidio notices the following relationship between the number of hours he schedules and the number of downloads (sales) he gets. Below is a production function, for Egidios current company set up. NUMBER of LABOUR DOWNLOADS HOURS B) 10 C) 20 30 40 50 60 70 80 90 100 110 120 130 140 6.50 11.00 14.50 17.50 20.50 23.75 27.50 32.00 37.50 44.50 53.50 65.00 79.50 97.50 TVC TC MC AVC Suppose the firm can hire all the labour it would ever want at the going wage of $8 per labour-hour. The firm's total fixed costs are $64 per day. A) ATC Fill in the table showing total variable cost (TVC), total cost (TC), average variable cost (AVC), average total cost (ATC), and marginal cost (MC). [Remember: Marginal cost should be entered midway between rows of output.] On a graph with DOWNLOADS (per day) on the horizontal axis, draw the three "per-unit" cost curves, AVC, ATC, and MC. [Note…Weekly production for a potter varles with the number of workers employed, as shown in the table below. Number of workers 1 2 3 4 5 Total product (units of pots) Marginal product Average product 0 90 360 486 540 435 90 90 a. Enter the values of marginal product, when adding each worker, in the table above. Include a minus sign (-) when entering any negative values.workers ouput marginal product total cost average total cost marginal cost 0 0 0 200 0 $0 1 20 20 300 $15 $5 2 50 30 400 $8 $3.33 3 90 40 500 $5.56 $2.50 4 120 30 600 $5 $3.33 5 140 20 700 $5 $5 6 150 10 800 $5.33 $10 7 155 5 900 $5.8 $20 can you explain diminishing marginal product based on these numbers?
- Diminishing returns begins with the addition of the 2nd,5th,4th or 3rd worker23) The marginal products of the first, second, and third workers are 50, 34, and 22, respectively. If four workers can produce 116 units of output, then the marginal product of the fourth worker is A) 10 B) 12 D) 116 Answer: A Diff: 2 Topic: The Production Process Skill: Analytic C) 22Units of Total Average Marginal Product Product Product Labor 1 100 2 125 3 300 4 20 5 290 In the table above, diminishing returns Multiple Choice O begin with the first unit of labor. begin with the third unit of labor. O begin with the fourth unit of labor. begin with the fifth unit of labor. do not occur because output is positive for all levels of labor usage. O
- 40) If 11 workers can produce a total of 54 units of a product and a 12th worker has a marginal product of 6 units, then the average product of 12 workers is A) 60 units. B) 54 units. C) 48 units. D) 5 units.Marginal Product Average Product of Labor Units of Total Labor Product of Labor 4 16 5 6. 120 30what is the marginal product of the third worker Table 1 Labor Production Marginal Product Total Variable Cost Total Fued Cost $0 1 $10 200 200 $20 $10 2. 350 $40 $10 3 470 $60 $10 80 $80 $10 5. 50 $100 $10 $120 $10 6. 630
- Labor (L) Quantity of Output (Q) Average Product of Labor (APL) Capital (K) Marginal Product of Labor (MPL) 10 1 10 50 ? 2 10 70 ? 3 10 70 4 10 240 ?The amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. The following table shows the total and marginal products of labor for a trawler. Crew Size (L) (No. of Workers) Amount of Fish Caught per Week ( Q) (Hundreds of Lbs) Marginal Product ( MPL) (Hundreds of Lbs) 5 15 10 30 15 55 25 80 25 95 15 105 10 110 5 10 110 11 105 -5 12 95 -10 Suppose the owner of the trawler can sell all the fish caught for $75 per 100 pounds and can hire as many crew members as desired by paying them $1,125 per week. Assuming that the owner of the trawler is interested in maximizing profits, what is the optimal crew size? workers |2 3 4 5 67 8 9을Labor (workers per day) Total product (bicycles per day) 0 0 1 4 2 10 3 18 4 25 5 30 The above table shows the relationship between labor input and total product of producing bicycles. The marginal product of the 5th worker is equal to 5 bicycles. 6.25 bicycles. 30 bicycles. 6 bicycles.
