Instacart offers consumers a convenient form of home delivery service for groceries. Units of output (q) are individual grocery deliveries/day. Grocery deliveries are achieved through the use of delivery trucks (K) and workers (L). The price of labor (w) is $10/worker. Use the provided graph to answer the question below. K 16 15 14
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- Consider a firm that produces car repairs. All inputs are fixed except the number of workers hired to make repairs. The schedule of output as the number of workers changes is : Number of Workers Repairs Completed(per day) Marginal Product ( per day) of that worker 1 3 3 2 9 ? 3 18 9 4 30 12 5 ? 15 6 52 7 7 58 6 8…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 9을Picture Tools 16285711986112063eel9ba0 69816244 (Read Only Sman References Mailings Review View Format Picture Shape Y Bring to Fre Picture Border Send to Bac Position Picture Effects Text Wrappr Picture Styles Arrange 2. 6 Question 2. 1. Widget factory Inc. in Wisconsin has the following production function: F(L,K) = 2L/2 K/2 L represent the number of labour hours. Workers at this factory are paid an hourly wage of $30 and they rent capital at $25/hour. Since this is a competitive market, the factory output the factory gets per is output is $50 per unit. Let's pretend the firm operates in the short run with capital fixed at 900, how many factory workers would Widget Factory Inc employ? What is their profit rate? Question 3.
- 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 workerInstacart offers consumers a convenient form of home delivery service for groceries. Units of output (q) are individual grocery deliveries/day. Grocery deliveries are achieved through the use of delivery trucks (K) and workers (L). The price of labor (w) is $10/worker. Use the provided graph to answer the question below. K 16 15 14 432 13 12 11 10 9 8 00 7 6 5 432 1 B C O $10 in cost savings $20 in cost savings $30 in cost savings O $40 in cost savings D q=100 q=50 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 L How much in production costs does the firm save by choosing to produce 50 grocery deliveries with the input mix at point B, rather than with the input mix at point A?(A) With P = 20, W = 25 and TFC = 500: Labor Output (Q) (L) 5 10 25 35 50 60 10 25 60 70 80 90 Marginal Physical Product of AVC=VC/Q ATC=TC/Q Labour (MPPL) 2 3 4 2 2 1 Average Physical Cost Product of (TC) (VC) Labour (APPL) 2 2.5 2.4 2 1.6 1.5 MPPL = Change in Q / Change in L APPL=Q/L TC = TFC + VC VC=W* L MC = Change in TC / Change in Q Total Variable Marginal Average Cost Variable 625 750 1125 1835 1750 2000 125 250 625 875 1250 1500 Cost (MC) 15 10 6 10 15 30 Average Total Cost Cost (AVC) (ATC) 12.50 10.00 10.42 12.50 15.63 16.62 62.5 30.00 18.75 26.21 21.88 22.22 Based on this table, answer this: 1. How much output will this firm produce? If the price of output increases to $30, how does your answer change? 2. If the productivity of labor increases by 10% (all else equal), how much more labor will the firm hire? 3. Below what price will this firm decide to produce zero units of output? (i.e. shut down)
- In the example presented by this graph, what is total output when the fifth worker is added? The Production Function and Marginal Product Total Output Total output Number (number of meals of workers served per hour) Marginal product of labor 70 30 10 10 15 15 123456789 10 Number of workers 30 (a) 12 42 Marginal Product of Labor 10 52 15 60 10 65 8. 67 -5 6. 63 -10 456 789 10 Number of workers 10 55 (b) Click to view larger image. a. 52 lawns moved b. 50 lawns moved С. It cannot be determined with the given information d. 54 lawns moweda) 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 .1 Mzanzi-Ndizvo (Pty) is a vaccine manufacturing company that has the following costs of production. 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.
- If 11 workers can produce a total of 54 units of a product and a 12th worker has a marginal product of 6 units, what is the average product of 12 workers?QUESTION 12 A research study published in Social Science Medicine. "Production Functions for General Hospitals," estimated the following general hospital production function in the Netherlands: Q = 5*Staf 24+Beds 64Drugs 04:5pecialists 02, where Qis a measure used by the authors for patient care. Suppose a hospital currently utilizes the following inputs: Staff=10, Beds = 100, Drugs = 50, Specialists =10. Use a spreadsheet to find the following. If the hospital increases its specialists by one (1), that is, employs an 11th specialist, the increase in Q (marginal product) will be: O A. 1.23. O B. 96. OC. 83. OD. 49. O E. 31. QUESTION 13 A study published in Social Science Medicine, "Production Functions for General Hospitals," estimated the following general hospital production function: Q = 5*Staff 34-Beds 64xDrugs 04Specialits 02, where Q is a measure used by the authors for patient care. If we increase all inputs by 1%. the percentage change in Q will be: O A.5.0 O B. 1.04. OC 3.3.…Gull Roza is a florist specializing in floral arrangements for weddings, graduations, and other events. Gull Roza has a fixed cost associated with space and equipment of $50 per day. Each worker is paid $80 per day. The daily production function for Gull Roza is shown in the accompanying table. Quantity of Labor (workers) Quantity of floral arrangements 0 0 1 110 2 200 3 270 4 300 5 320 6 320 Calculate the marginal product of each worker. Calculate the marginal cost, Average total cost, and average variable cost of each level of output.
