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Suppose that the production technology is Y = min{K, L). We want to produce 10 units of output. The level of wages is W = 2 and the price of capital is R = 3 What is the cost minimizing choice of K and L? What is the level of the cost? (Hint: Plot the isoquant at Y = 10 )
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- A firm uses labor (L) and capital (K) to produce rocking chairs (Q) with the following production function Q=LK. The wage (w) is $10 and the rate of capital (r) is $20. The target number of rocking chairs to produce is 800. It is the short run and the amount of K is fixed at 5. What the optimal values for L* and K* in the short run? Enter the number for the the optimal amount of L in the short run? Enter the number for the the "optimal" amount of K in the short run?“After the fifth worker is hired at the hourly wage $40, the output rate increases from 64 pairs of shoes per hour to 72 pairs per hour.” Given the statement, which of the following is correct after the fifth worker is hired? Group of answer choices The marginal cost (MC) becomes $8. The marginal physical product (MPP) per labor hour becomes 5. The marginal cost (MC) becomes $5. The marginal physical product (MPP) per labor hour becomes $40.A widget manufacturer has an infinitely substitutable production function of the form q= 2K+L a. Draw the isoquant maps on a graph for q=20, q=40, and q=60. What is the RTS along these isoquants show formula and working? b. If the wage rate (w) is $1 and the rental rate on capital (v) is $1, what cost-minimizing combination of K and L will the manufacturer employ for the three different production levels in part a? What is the manufacturer’s expansion path, draw the line on the graph? (show all working for this) c. If (v) rose to $3 with (w) remaining at $1, what cost-minimizing combination of K and L will the manufacturer employ for the three different production levels in part a? What is the manufacturer’s expansion path, draw the line on the graph? (show all working for this)
- According to microeconomic theory, an input factor may be: a. Fixed in the short run, but will always be variable in the long run. b. Fixed in the short run, and fixed or variable in the long run. c. Variable in the short run, but will always fixed in the long run. d. Either fixed or flexible in the short run, and either fixed or flexible in the long run.Output is produced according to a production process given by: Q = 4LK, where L is the quantity of labor input and K is the quantity of capital input. If the price of K is $10 and the price of L is $5, then what is the cost-minimizing combination of K and L capable of producing 32 units of output?A typical firm will aim to move to the lowest possible isocost line, while maintaining a certain production level. is it true or false
- Suppose the production budget is $200/hour, the wage is $5/hour, and the cost of capital is $10/hour. Which of the below represents the corresponding isocost line?Given the linear production function: Log (Q) = 1.5 + 0.76 Log (L) + 0.24 Log (K) Where Q is the level of output, L is the units of labor and K is the units of capital employed. a. If one worker's wages are $30 per day, how many workers should the firm employ per unit of output? b. What is the percentage of the firm's revenue spent on labor?Consider the following production function with inputs L and K: Q = (L 0.5 + K0.5)2. The input prices are r = 2 and w = 1. 1) What is the optimal use of labor and capital? 2) Consider a technological advacement such that Q = 2(L 0.5 + K0.5)2 and w = r = 1. What is the optial level of K and L? Any change in K/L? What is the new cost?
- Suppose that Zamboni Enterprises is the only company that sells zambonis (ice resurfacing machines). To produce the machines, the company hires assembly workers. Since these workers can work in many different companies, Zamboni Enterprises must pay them the market wage, which is equal to $6. The number of zambonis that the company produces, which is denoted by y, is proportional to the number of assembly workers that it hires, which are denoted by N; in particular, the production function is given by y=0.76N. The economywide demand for zambonis is given by the following demand function: y=2191-219p, where y is the number of zambonis that consumers are willing to purchase at price p. Given this market structure, how many assembly workers will Zamboni Enterprises choose to hire? How many zambonis will Zamboni Enterprises produce and sell?Suppose that Zamboni Enterprises is the only company that sells zambonis (ice resurfacing machines). To produce the machines, the company hires assembly workers. Since these workers can work in many different companies, Zamboni Enterprises must pay them the market wage, which is equal to $6. The number of zambonis that the company produces, which is denoted by y, is proportional to the number of assembly workers that it hires, which are denoted by N; in particular, the production function is given by y=0.76N. The economywide demand for zambonis is given by the following demand function: y=2191-219p, where y is the number of zambonis that consumers are willing to purchase at price p. Given this market structure, how many assembly workers will Zamboni Enterprises choose to hire? How many zambonis will Zamboni Enterprises produce and sell? What will be the price of a zamboni? If the market for zambonis were competitive, how many zambonis would be produced? If the market for…Suppose that Zamboni Enterprises is the only company that sells zambonis (ice resurfacing machines). To produce the machines, the company hires assembly workers. Since these workers can work in many different companies, Zamboni Enterprises must pay them the market wage, which is equal to $6. The number of zambonis that the company produces, which is denoted by y, is proportional to the number of assembly workers that it hires, which are denoted by N; in particular, the production function is given by y=0.76N. The economywide demand for zambonis is given by the following demand function: y=2191-219p, where y is the number of zambonis that consumers are willing to purchase at price p. If the market for zambonis were competitive, how many zambonis would be produced? If the market for zambonis were competitive, how many assembly workers would be hired? If the market for zambonis were competitive, at what price would zambonis be sold?
