When labor usage is at 12units, the output is 36units. From this we may infer that a) the marginal product of labor is 3 b)the total product of labor is 1/3 c)the average product of labor is 3 d)none of the above
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- A company uses two inputs, unskilled labour (L) and capital (K), to produce its product. The wage rate for a unit of labour is €5, while a unit of capital cost €20. a) Determine the equation and plot the isocost line for the company's expenditures on itsinputs of €1,000. Label the intercepts of the isocost with both axes. Draw a typical isoquant for an output level Q0 and indicate the optimal input levels of L and K. (Do not forget to label the axes). b) Suppose the government introduces a minimum wage for unskilled labour of €6 per unit.Show graphically and explain shortly how much it would cost the firm in the short run, with capital input fixed at K, to keep its output constant at Q0. c) Show graphically and comment shortly on the optimal factor mix that the firm would use to produce Q0 in the long run at the specified minimum wage of €6 per unit.The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $2,625 for the production setup. The variable cost is $55 per pair, and each pair sells for $80. (a) Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost (C) of producing x pairs of shoes. C = (b) Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. P = (c) How large must the shoe order be before O'Neill will break even? x =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.
- 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?A company producing cell phone cases uses either rubber (zy) or plastic (₂) with the following production function: y=+ where y stands for the number of cases produced, and az, and a stand for, respectively, the amount of rubber and the amount of plastic used (both in ounces). 1st attempt See Hint Suppose the firm has signed a contract to purchase 180 ounces of rubber. This contract must be honored. Furthermore, the rubber has a very short shelf life if not used for production. That is, if the rubber is not used immediately, it will be wasted. Let wy be the price of an ounce of rubber, and we be the price of an ounce of plastic. Suppose the firm wants to make 430 cell phone cases. The conditional factor demand for ounces of plastic totals 5, and zero otherwise.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 .Please redo the graphs because I don't believe they are correct as well as the box that says "more".Could you show the work for getting X = 6 and Y = (9-X)/2
- Suppose the production function for T-shirts can be represented as q = L^0.25 K^0.75. When K =1 and q = 2, what is the slope of the isoquant? If there is %3D %3D insufficient information to answer the question, describe what information is additionally needed.A cookshop hires two chefs. The workload, equipment and materials are evenly distributed. The result is a significant increase in the marginal number of lunch dishes made daily. Then 2 more chefs are hired. Now the workload per chef is lessened and there are conflicts over the use of materials and equipment. There is still an increase in the marginal number of lunch dishes made daily, but the increase occurs at a slower rate than before. This is an example of:A farmer uses a certain technology that produces electricity. His production function is given as: q = f (k, l) = 1000k¹⁰/20 – 201³ Where q is the no. of megawatts of electricity his company is producing. Suppose that their electrical generators, k=20, calculate for the following: 1. Marginal product of labor 2. Average product of labor if k=20 3. If k decreases from 20 to 17, calculate the new MP of labor and the average product. Explain intuitively what happens to the MP and the average product.