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- The production engineers at Impact Industries have derived the optimal combinations of labor and capital. These are the only two inputs used by Impact. The following chart shows the combinations of labor and capital for three levels of output. Q is the output level. L* is the optimal amount of labor. K* is the optimal amount of capital. The price of labor is $90 per unit. The price of capital is $15 per unit. Q L* K* 120 5 20 180 7 7 240 12 24 a) If the manager of Impact Industries decides to produce 120 units, what will the long-run total cost and long-run average cost of producing 120 units? Show all calculations. b) If the manager of Impact Industries decides to produce 180 units, what will the long-run total cost and long-run average cost of producing 180 units? Show all calculations. c) If the manager of Impact Industries decides to produce 240 units, what will the long-run total cost and long-run average cost of producing 240…The production engineers at Impact Industries have derived the optimal combinations of labor and capital. These are the only two inputs used by Impact. The following chart shows the combinations of labor and capital for three levels of output. Q is the output level. L* is the optimal amount of labor. K* is the optimal amount of capital. The price of labor is $90 per unit. The price of capital is $15 per unit. Q L* K* 120 5 20 180 7 7 240 12 24 a) If the manager of Impact Industries decides to produce 120 units, what will the long-run total cost and long-run average cost of producing 120 units? Show all calculations. b) If the manager of Impact Industries decides to produce 180 units, what will the long-run total cost and long-run average cost of producing 180 units? Show all calculations. c) If the manager of Impact Industries decides to produce 240 units, what will the long-run total cost and long-run average cost of producing 240…The production engineers at Impact Industries have derived the optimal combinations of labor and capital. These are the only two inputs used by Impact. The following chart shows the combinations of labor and capital for three levels of output. Q is the output level. L* is the optimal amount of labor. K* is the optimal amount of capital. The price of labor is $90 per unit. The price of capital is $15 per unit. Q L* K* 120 5 20 180 7 7 240 12 24 a) If the manager of Impact Industries decides to produce 120 units, what will the long-run total cost and long-run average cost of producing 120 units? Show all calculations. b) If the manager of Impact Industries decides to produce 180 units, what will the long-run total cost and long-run average cost of producing 180 units? Show all calculations.
- Find the intersection point of the following two constraints: 2X + 2Y = 34 3X + 1Y = 49Give one example of external economics of scale?The nation of Ectenia has 20 competitive apple orchards, all of which sell apples at the world price of $2 per apple. The following equations describe the production function and the marginal product of labor in each orchard: Q=100 L-L2 MPL = 100-2L Where Q is the number of apples produced in a day, L is the number of workers, and MPL is the marginal product of labor a. What is each orchard's labor demand as a function of the daily wage W? What is the market's labor demand? b.Ectenia has 200 workers who suply their labor inelastically. Solve for the wage W How many workers does each orchard hire ? How much profit does each orchard owner make? c.Calculate what happens to the income of workers and orchard owners if the world price doubles to $4per apple. d. Now suppose the price is back at $2 per apple, but a hurricane destroys half the orchards. Calculate how the hurricane affects the income of each worker and of each remaining orchard owner. What happens to the income of Ectenia as a…
- Consider the following production function: Q = 100L0.5K0.5 subject to the budget constraint 5L + 10K = 75; where L is labour and K is capital. Derive the capital to labour ratio.Describe two ways labor exerts influence on the economic landscape. Give one example lf a constraint labor faces.Sam Malone is considering renovating the bar stools at Cheers.The production function for new bar stools is given byq = 0.1k 0.2l0.8 where q is the number of bar stools produced during the renovation week, k represents the number of hours of bar stoollathes used during the week, and l represents the number ofworker hours employed during the period. Sam would like toprovide 10 new bar stools, and he has allocated a budget of$10,000 for the project.a. Sam reasons that because bar stool lathes and skilled barstool workers both cost the same amount ($50 per hour),he might as well hire these two inputs in equal amounts.If Sam proceeds in this way, how much of each input willhe hire and how much will the renovation project cost?b. Norm (who knows something about bar stools) arguesthat once again Sam has forgotten his microeconomics.He asserts that Sam should choose quantities of inputs sothat their marginal (not average) productivities are equal.If Sam opts for this plan instead, how much of…
- A firm uses capital and labor to produce output according to the pproduction function q = 4pKL, for which MPL = 2pK=L and MPK = 2 L=K. a. If the wage w=$4 and the rental rate of capital r=$1,what is the least expensive way to produce 16 units of output? b. What is the minimum cost of producing 16 units? c. Show that for any level of output q, the minimum cost of producingq is $q.Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function Q=F(L,K) Q=10L^0.25 K^0.25 where L is their number of workers and K is units of capital. The wage rate is $500 per week and a unit of capital costs $500 per week. Suppose that when initially producing 10 square feet a week, they use 1 unit of capital.a. What is their short-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ b. What is their short-run average cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ c. What is their long-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ d. What is their long-run average cost of remodeling 80 square feet per week? Instructions: Round your answer…A firm produces a good using two inputs, capital (K) and labour (L). For every unit of output being produced, the ratio of capital to labour must be , where is a positive parameter. Meanwhile, the total cost of production must equal $1,000. If the rental rate of capital is $20 per unit of capital, and the hourly wage is $10 per unit of labour, how much capital does the firm use for it production? a) k=100a/(2/a+1) b) k=100/a(2a+1) c) k=100/(2/a+1) d) k=100/(2a+1)