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.
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- 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 .PLANT OUTPUT (TONS) CAPITAL ($) LABOUR (HOURS) 1 605.3 18,891 700.2 2 566.1 19,201 651.8 3 647.1 20,655 822.9 4 523.7 15,082 650.3 5 712.3 20,300 859.0 6 487.5 16,079 613.0 7 761.6 24,194 851.3 8 442.5 11,504 655.4 9…PLANT OUTPUT (TONS) CAPITAL ($) LABOUR (HOURS) 1 605.3 18,891 700.2 2 566.1 19,201 651.8 3 647.1 20,655 822.9 4 523.7 15,082 650.3 5 712.3 20,300 859.0 6 487.5 16,079 613.0 7 761.6 24,194 851.3 8 442.5 11,504 655.4 9…
- Answer all questions Question 1 Calculate the productivity for the following operations: Three employees processed 600 insurance policies last week. They 8 hours per day, 5 days per week. A team of workers made 400 units of product, which is valued by its standard cost of $10 each (before markups for other expenses and profit). That accounting department reported that for this job the actual cost were $ 400 per labor, $1000 for materials and 4300 for overhead. Question 2 a) Find the productivity if four workers installed 720 square yards of carpeting in eight hours. b) Compute for the productivity of a machine which produced 68 usable pieces in two hours. Question 3Compute the multifactor productivity measure for an eight-hour day in which the usable output was 300 units, produced by three workers who used 600 pounds of materials. Workers have an hourly wage of $20 and material cost is $1 per pound. Overhead is 1.5 times labour cost.Question 4A health club has two employees who…A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answerWhat is the definition of the internal rate of return (IRR) (it is efficient to write down the formula)? What are the given information and what is the unknown variable?
- Units of fixed input K Labor Hours (L) Output (Q) TFC TVC TC AFC AVC ATC MC 3 0 0 90 0 90 0 0 0 0 3 1 4 90 20 110 22.5 5 27.5 5 3 2 90 90 40 130 1 0.444 1.444 0.233 3 3 160 90 60 150 0.563 0.375 0.938 0.286 3 4 200 90 80 170 0.45 0.400 0.85 0.5 3 5 230 90 100 190 0.391 0.435 0.826 0.667 3 6 250 90 120 210 0.36 0.480 0.84 1 3 7 260 90 140 230 0.346 0.538 0.885 2 3 8 265 90 160 250 0.340 0.604 0.943 4 If the price of the output is $1, how many units of output should the firm produce to maximize profit? What is the firm’s profit level?The book's answer is 4 units of labor but please explain solutionA production function defines the output that can be produced A. as technology changes over time. B. in a given time period if no additional inputs are hired. C. for the average firm. D. at the lowest cost, given the inputs available. E. if the firm is technically efficient. Why E is correct? Please explain every opinion for me. Thx~ Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Using the annual data for the period of 2000 and 2010, Prof Omanya applied a Cobb -Douglas production function to estimate the production for the Kenya's manufacturing sector using firms listed on Nairobi Securities Exchange. His results were given as: Q= K0.45 L0.55 Where Q = units of output; L = units of Labor; and K = units of capital What are the marginal products of Labor and Capital? Calculate the factor intensity and explain the technique of production that is being used by Prof Omanya How would you characterize the Kenya's manufacturing sector in terms of returns to scale? What are the main three causes of such returns to scale? Explain three significance of returns to scale in Managerial decision makingUsing the annual data for the period of 2000 and 2010, Prof Omanya applied a Cobb -Douglas production function to estimate the production for the Kenya's manufacturing sector using firms listed on Nairobi Securities Exchange. His results were given as: Q= K0.45 L0.55 Where Q = units of output; L = units of Labor; and K = units of capital What are the marginal products of Labor and Capital? Calculate the factor intensity and explain the technique of production that is being used by Prof Omanya How would you characterize the Kenya's manufacturing sector in terms of returns to scale? What are the main three causes of such returns to scale?9. K Please answer in 4 decimal placesTopic: engineering economics