Q4. The two production functions q 2k0.5 and q = 20/0.5 are available for a firm. The sum of the labor input and the capital input is limited by 100 = k+1. a. The marginal product of labor and that of capital must be the same at the firm's output maximizing choice. Is this statement true or false? Explain %3D %3D
Q: Shows the lowest possible input costs (combinations of labour and capital) at which different levels…
A: The firms, and businesses are considered to be the important entities in the markets, as they assist…
Q: The production engineers at Impact Industries have derived the optimal combinations of labor and…
A: Answer to the question is as follows:
Q: A firm in a competitive marketplace employs 10 workers at a wage rate of $20 per hour, and 10 units…
A: Cost Minimization Producers utilize cost minimization as a fundamental guideline to identify what…
Q: Suppose the marginal productivity of capital is 50 units of output and the marginal productivity of…
A: In financial matters, the marginal product of capital (MPK) is the extra creation that a firm…
Q: Does optimal use of an input (such as labor) mean maximizing average output (per unit of input)?…
A: If economics is concerned, the answer is surely no, though it is yes to some technical sense.
Q: Demonstrate the following two scenarios with clearly and fully labeled graphs: The change in the…
A: Isoquant lines represents the combination of different inputs that gives the same level of output.…
Q: The following question is based on the production function Q=80L0.7K0.3 where the cost of labour is…
A: Given Q =80L0.7K0.3 ........ (1) Cost of labour = $6 Cost of capital =$4 The total cost of…
Q: If a firm's production function is Leontief and the wage rate goes up, the: Multiple Cholce firm…
A: Leontief production function use a fixed proportion of labor and capital. We can say that technology…
Q: a company can manufacture a product according to the production function Q=3K1/2L1/2, and capital is…
A: Given that, Q = 3 K0.5 L0.5K = 4 P = $10 W = $10
Q: Answer the question on the basis of the following output data for a firm. Assume that the amounts of…
A: Answer to the question is as follows:
Q: A firm can manufacture a product according to the production function Q = 2(K)1/2 (L)1/2 where K…
A: The marginal productivity of labor can be found by differentiating the production function with…
Q: Given the production function for labor and capital: Q =L^½(K^V½), and q = 100. If the firm wants to…
A: ANSWER The production function relates the maximum amount of output that can be obtained from a…
Q: The production engineers at Impact Industries have derived the optimal combinations of labor and…
A: The optimum combination of labour and capital is when the total cost of labour and capital is low…
Q: Assume that capital and labor are substitutes in production. The output effect of an increase in the…
A: Output effect is the effect of a rise in output on the use of any particular input, holding input…
Q: Suppose a firm faces the following average and marginal products of labor: APL = 200 + 5L - 0.08L2…
A: Stage II of production begins at the point where the marginal product of labor (MPL) and average…
Q: Suppose that widgets can be produced using two different production techniques, A and B. The…
A: There are two production techniques, A and B Input requirement for each level of output is given…
Q: Given the production function for labor and capital: Q = L^½(K^½), and q = 100. If the firm wants…
A: Production function:- Production function can be defined as an economic equation that represents the…
Q: Q7. The production function is y=L¹/aK¹/B. $12. The price of the output is $100, w = $15, and r=; a.…
A: Introduction We have given a production function. Optimal level of input can be achieved at where…
Q: the marginal product per dollar spent on capital
A:
Q: A competitive, profit-maximizing firm uses two inputs labor (2) and capital (K). Its production…
A:
Q: 6. 3.4 from Microeconomic Analysis Given the production function f(r1, 22) = r, calculate the…
A: Production function : f(x1 , x2 ) = x1a1x2a2 Let the output price be (p) , cost of (x1) be (w) and…
Q: QUESTION 2 Consider a self-employed worker. The worker produces output, q, according to the…
A: This worker should optimally work for 2.5 h and will earn a profit of $ 18.75 as cost will be $6.25…
Q: Let y = f(x1, x2)=x112+x1X2 be a firm's production function, where x120, x220. e a. Write down the…
A: Firm's production function y=x11/2+x1 x2 where x1≥0 and x2≥0
Q: Consider the table below that describes the production function for a good (Q) in terms of inputs…
A: Marginal product is the additional output produced by employing an additional unit of input.
Q: Consider a firm that has production function f(L,K)= 3L2/3K1/3. What is the expression for this…
A: Firm’s production function is given as:
Q: 1. What is the optimal level of Labor that maximize marginal production if the production function…
A: the marginal product or marginal physical productivity of an input is the change in output resulting…
Q: What is the marginal physical productivity (MPP) of the inputs given the function Q=18x21+2x1x2+2x22…
A: Marginal physical product (MPP) is the change in the level of output due to a change in the level of…
Q: A company can manufacture a product according to the production function Q=3K1/2L1/2, and capital is…
A: The cost of production is delineated in social science because the expenses spent to urge the…
Q: Suppose the production function of a firm is given as: Q = 5L + 10L2 – 2L3 Find the number of labors…
A: Given production function Q = 5L + 10L2 -2L3 This is also referred as Total Product Average Product…
Q: Consider a firm that uses only labour and capital as inputs. At the present use of labour and…
A: When a firm that uses only labour and capital as inputs. At the present use of labour and capital,…
Q: If a firm has 5 units of capital, 10 units of labor, and the production function is Q = 4L + 3K…
A: The marginal product of capital is a change in output/total product when additional input (capital)…
Q: production function of this nature; AX1aX2b determine the Marginal Rate of Technical Substitution.
A: Marginal rate of technical substitution means the rate at which one factor is substitute by other…
Q: If the optimal quantities of labour and capital were employed, then the total output is…
A: The production function is given as: Q = 100L0.5K0.5subject to5L+10K=75or L+2K=15
Q: Answer the question on the basis of the following output data for a firm. Assume that the amounts of…
A: Marginal product: A marginal product is defined as the change in output as a result of utilizing an…
Q: subject to the budget constraint 5L + 10K = 75; where L is labour and K is capital. Derive the…
A: The production function shows the relationship between the output and inputs. The equilibrium is…
Q: The production engineers at Impact Industries have derived the optimal combinations of labor and…
A: Economies of scale refers to decrease in average cost when output increases, and there are…
Q: Suppose a firm has the following Production Function: f(x1, x2) = x1/3x21/3 Find out the profit…
A: Profit maximizing input where using
Q: Consider the following production function q = F (L, K) = L²K What is the marginal rate of…
A: Marginal rate of technical substitution (MRTS): - it is the rate that shows the number of one input…
Q: Suppose Die Cast Aluminum Co. is a subcontractor for the auto industry and makes specialized auto…
A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…
Q: The production function is Q = K^.6 L^.4. The marginal rate of technical substitution is
A: Economics is a branch of social science that describes and analyzes the behaviors and decisions…
Q: Sam Malone is considering renovating the bar stools at Cheers.The production function for new bar…
A: Note:- Since we can only answer up to three subparts, we'll answer the first three. Please repost…
Q: Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they…
A: (a) Q = 10L0.5K0.5 Where L is number of workers K is units of capital ------------------------ In…
Q: Suppose 10 workers produce 500 units of commodity X and 20 workers produce 800 units of commodity X,…
A: The production function illustrates the relationship between the quantity of inputs used and the…
Q: Suppose the marginal productivity of capital is 50 units of output and the marginal productivity of…
A: In financial matters, the marginal product of capital (MPK) is the extra creation that a firm…
Q: Sam Malone is considering renovating the bar stools at Cheers. The production function for new bar…
A: "Since you have asked multiple question,we will solve the first question for you.If you want any…
Q: Consider the following production function with inputs L and K: Q = (L 0.5 + K0.5)2. The input…
A: Optimum level of output is when the ratios of marginal costs of production equals the ratio of the…
Pls help me with below homework-)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- Does optimal use of an input (such as labor) mean maximizing average output (per unit of input)? Explain.Suppose that the production of crayons ( qq ) is conducted at two locations and uses only labor as an input. The production function in location 1 is given by q1=10l0.51q1=10l10.5 and in location2 by q2=50l0.52q2=50l20.5a. If a single firm produces crayons in both locations, then it will obviously want to get as large an output as possible given the labor input it uses. How should it allocate labor between the locations to do so? Explain precisely the relationship between l1l1 and l2l2b. Assuming that the firm operates in the efficient manner described in part (a), how does total output ( qq ) depend on the total amount of labor hired (l)?(l)?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.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
- Digging calms by hand in Sunset Bay requires only labor input. The total number of calms obtained per hour (q) is given by :Q = 100√LWhere L is labor input per hour. A. Graph the relationship between q an LB. What the average productivity of labor in Sunset Bay? Graph this relationship and show that output per unit of labor input diminishes for increase in labor input. C. It can be shown that the marginal productivity of labor in Sunset By is given by:MPL =50√LGraph this relationship and show that labor’s marginal productivity is less than average productivity for all values of L . Explain why this is do.D. Explain the concept of diminishing returns to labor and how this concept related to increasing marginal costs.Can you please check my answers for the following question? Mandy owns a small coffee shop. Her production function is q=2K0.5L where q is the number of cups of coffee produces, K is the number of coffee machines, and L is the number of employees. If K=10 and L=20, the marginal rate of technical substitution is: 1 MLP= 2K0.5 MLK = L/K0.5 MRTS= 2K/L = 2(10)/20 =1 MRTS = w/r Starting from 10 machines and 20 employees, if Joe hires one more employee, then he can use ______ fewer machine(s) and still produce the same quantity of coffee. 1 fewer machineAnswer the question on the basis of the following output data for a firm. Assume that the amounts of all nonlabor resources are fixed. Number of Workers Units of Output 0 0 1 50 2 90 3 125 4 150 5 170 6 165 The marginal product of the sixth worker is Multiple Choice 165 units of output. 20 units of output. −5 units of output. −15 units of output.
- We often work with production technologies that give rise to initially increasing marginal product of labor that eventually decreases. Are the following statements then True or False? Explain. For such production technologies, the marginal product of labor is increasing so long as the slope of the production frontier becomes steeper as we move toward more (we are increasing) the labor input.If the production function is F(K,L)=A∗K0.4L0.6 then what is the marginal rate of technical substitutionIf the production function of a firm is given by Q=K^L^3 and the input prices are r=Birr 8 per unit band w= Birr 2 per unit, find the levels of labor and capital that maximize the level of output bfor a total outlay of birr 240.If the production function of a firm is given by Q=K 2L 3 and the input prices are r=Birr 8 per unit and w= Birr 2 per unit, find the levels of labor and capital that maximize the level of output bfor a total outlay of birr 240.