Suppose that q = 50, L= 2, and K= 10 is a point on the production functionq =f(L, K).Isit posssible for q = 50, L= 2, and K=11 to also be a point on this production function? Why or why not?The combination q = 50, L= 2, and K=11O A. cannot be a point because we assume production functions are efficient.B. cannot be a point because we assume production functions represent the short run.C. cannot be a point because we assume production functions are comprised of fixed inputs.D. can be a point because we assume production functions hold technology constant.E. can be a point because we assume production functions exhibit diminishing returns.

A production function refers to the output, which depends on inputs such as labor, capital and…

Answered: Suppose that q = 50, L= 2, and K= 10 is…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

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In the Cost Minimization Problem, the isoquant curve for an output level equal to the output quota? Illustrates the cost of labor and capital a firm pays to produce a level of output in excess of an output quota. Illustrates all combinations of labor and capital that a firm cannot afford. Illustrates all combinations of labor and capital that a firm can afford. O Illustrates all combinations of labor and capital that a firm can use to produce a level of output equal to the output quota.
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Consider the following production function: q = 2V1 + 3VK Assume K = 16, derive the marginal product schedule for L. What direction is it moving? a. b. What returns to scale does the production function exhibit? Explain Let w = $4, r = $2, and K = 16; for the given values of a determine average fixed costs, average variable costs, average total costs, and marginal costs: C. L AFC AVC ATC MC 9 12 13 14 15 16 K 16 16 16 16 16
Assume instead that pharmacists and robots dispense prescriptions according to the following production function: Y = 10*KO.8L0.2 where Y is the number of prescriptions dispensed; L is the number pharmacist hours, and K is the number of robot hours. In addition, $10 worth of materials is used for each prescription. a. What is this type of production function called, and what are we assuming about the relationship between robots and pharmacists by using this production function? b. Derive the cost - minimizing demands for K and L as a function of output, the wage rate and the rental rate of capital. c. Use these results to derive the total cost function: costs as a function of y, r, w, and the $10 materials cost. d. Pharmacists earn $32 per hour. The rental rate for robots is $64 per hour. What are total costs as a function of Y? e. Does this technology exhibit decreasing, constant, or increasing returns to scale?f. The pharmacy plans to produce 40,000 prescriptions per week. At the…
Please don't copy ans Economics You are the owner of a motorbike company that currently has two different factories, an old one and a new one. The old factory uses an old technology that requires large amounts of labor to produce motorbikes. The production technology for the old firm is given by Fo(L) = m*L^1/2 . The new factory uses a much more modern production technology given by Fn(L) = n*L^1/2 . a. What are costs as a function of output for each individual factory? b. Suppose that you want to produce 1000 motorbikes. How many motorbikes will you produce at the old factory and how many will you produce at the new factory? c. Derive an expression for the total cost of producing y motorbikes (assuming that you always divide production between the factories in the optimal way). How does this cost function compare to the individual factory cost functions? d. It turns out that you can upgrade your old factory to make it just as efficient as the new factory. To pay…
A firm has two opportunities for a new plant location, one is in China and the other is inMexico. The firm's production function is given by q = L 0.5 K 0.5 , In China, the cost of laboris w=$15 and the cost of capital is r=$5. In Mexico, w=$10 and r=$10. The firm wants toproduce 100 units of output. Which location should the firm choose for their new plant?Explain why.Note: Please round the optimal amounts of capital and labor at each location to the nearest whole number when making your calculations.Hint: cost-minimization rule.
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A company has the following production function for its product, f(k, I) = k"/2/1/2. It faces input prices v = 5 for capital and w = 20 for labor. How much does the firm use of each input if it wants to produce 10 units of its product? O a. I= 4, k = 25 O b. / = 5, k = 20 O c. 1= 20, k = 5 O d. 1= 25, k = 4 Clear my choice Suppose the market demand for a good is Qº = 2000 – 8p and market supply is QS = 5p + 700. There are 10 %3D firms with exactly the same cost function. How much does each firm produce? O a. 100 O b. 120 O c. 140 O d. 200 Clear my choice
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In economics and econometrics, the Cobb-Douglas production function is a particular functional form of ne production function, widely used to represent the technological relationship between the amounts of two r more inputs (particularly physical capital and labor) and the amount of output that can be produced by nose inputs. The function they used to model production is defined by, P(L, K) = 6LªK!-a where P is the total production (the monetary value of all goods produced in a year), L is the amount f labor (the total number of person-hours worked in a year), and K is the amount of capital invested (the onetary worth of all machinery, equipment, and buildings). Its domain is {(L, k)|L > 0, K > 0} because L nd K represent labor and capital and are therefore never negative. Show that the Cobb-Douglas production function can be written as P P(L, K) = 6LªK1-a → In K L In b+ a ln K
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