II. Helping Conchita-Crem to minimize costsSuppose that the labor cost of Conchita-crem is $20 USD per hour, and the cost of capital is$5 USD per hour. Suppose the production function for conchas is q =10L/2K2a) José Antonio produces 1000 conchas. He is currently using 100 workers and 100ovens. Is he optimizing his use of inputs of production?b) What is the rule to optimize the use of inputs of production?c) Find the optimal level of labor and capital for Conchita-Crem. What is its total cost?d) Now suppose that the rental price of ovens for Conchita-Crem increases 100%.Would the production change? What would be now the rule to efficiently use inputsof production? How much labor and capital be used? What is the total cost now?Compare it to your answer in c.e) Find the input demand functions for capital and labor. Remember these functionsspecify the amount of labor or capital that Conchita-Crem will use as a function ofproduction level q.f) Suppose now that José Antonio would like to know the expansion path of his firmand his long-run costYou must use graphs to depict the scenario.rve. He wants to know that for up to 5,000 conchas produced.

“Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Suppose that the labor cost of Conchita-crem is $20 USD per hour, and the cost of capital is $5 USD per hour. Suppose the production function for conchas is q = 10L2K"/2 %3D a) José Antonio produces 1000 conchas. He is currently using 100 workers and 100 ovens. Is he optimizing his use of inputs of production? b) What is the rule to optimize the use of inputs of production? c) Find the optimal level of labor and capital for Conchita-Crem. What is its total cost?

Suppose that the labor cost of Conchita-crem is $20 USD per hour, and the cost of capital is $5 USD per hour. Suppose the production function for conchas is q = 10L2K"/2 %3D a) José Antonio produces 1000 conchas. He is currently using 100 workers and 100 ovens. Is he optimizing his use of inputs of production? b) What is the rule to optimize the use of inputs of production? c) Find the optimal level of labor and capital for Conchita-Crem. What is its total cost?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

***QUESTION HAS FOUR PARTS - ALL PARTS MUST BE ANSWERED TOGETHER AS THEY ARE DEPENDENT ON EACH OTHER*** 1. A farmer raises apples using land (K) and labor (L), and has an output of ? (?,?) = ? 0.5 ? 0.5 bushels of apples. a. Find several input combinations that give the farmer 6 bushels of apples. Sketch the associated isoquant on a graph, with L on the x-axis and K on the y-axis. b. In the short run, the farmer only has 4 units of land. What is his short-run production function? Graph it for values of L from 0 to 16, with L on the x-axis and output on the y-axis. What is the name of the slope of this curve? c. Assuming the farmer still only has 4 units of land, how much extra output does he get from adding 1 extra unit of labor if he is already using only 1 unit of labor? How much extra output does he get from adding 1 extra unit of labor if he is already using 4 units of labor? d. In the long run, the farmer can change both his amount of land and his amount of labor. Suppose…
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…
Suppose the production function is given by Q = 5K+2L. What is the marginal product of capital when 5 units of capital and 10 units of labor are employed?
***PLEASE NOTE - An answer is NOT needed for parts A, B and C; these are included to assist with answering part D. Only an answer for part D is required, but it is derived from the previous answers*** Given: A farmer raises peaches using land (K) and labor (L), and has an output of ?(?,?)= ?0.5?0.5 bushels of apples. a. Find several input combinations that give the farmer 6 bushels of apples. Sketch the associated isoquant on a graph, with L on the x-axis and K on the y-axis. b. In the short run, the farmer only has 4 units of land. What is his short-run production function? Graph it for values of L from 0 to 16, with L on the x-axis and output on the y-axis. What is the name of the slope of this curve? c. Assuming the farmer still only has 4 units of land, how much extra output does he get from adding 1 extra unit of labor if he is already using only 1 unit of labor? How much extra output does he get from adding 1 extra unit of labor if he is already using 4 units of labor?…
Write out an example Cobb-Douglas production function. Derive the signsfor the relationship between labor and output and for marginal product oflabor and labor, holding other inputs fixed. Explain with economic intuition.
Consider the following production functions and match them to the word that describes their returns to scale. Production function A: F(L,K) = K²L Production function B: F(L,K) = 25K + 10L Production function C: F(L,K) = (KL)¹2 Production function D: F(L,K) = 5L² + L¹/2K1/2 Production Function A✔ Choose... Decreasing Production Function B Constant Production Function C Increasing Production Function D Choose.. +
Suppose the production function is given by G = 10K - 8L. What is the average product of capital when 2 units of capital and 10 units of labor are employed?
a.)Suppose that labor is the only variable input in the production process. If the marginal cost of production is diminishing as more units of output are produced, what can you say about the marginal product of labor?b.)What are economies of scale? What are economies of scope? What is the difference between the two?
Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function. S = 20L0.30c0.70 In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs $50, and each unit of capital costs $100. (a) Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 60,000 tons of steel at minimum cost. Min s.t. = 60,000 L, C 20 (b) Solve the optimization problem you formulated in part (a). (Hint: When using Excel Solver, start with an initial L> 0 and C > 0. Round your answers to the nearest integer.) $ at (L, C) =
Suppose a firm’s production function is ? = ?2?. a) Determine the labor and capital demand functions. b) Are capital and labor normal or inferior inputs in this production process?
Q)solve it correctly The marginal products of capital (MPK) and labor (MPL) are, respectively, MPK = 2000 units; MPL = 1500 units. The input prices are: PK = $10/unit; and PL = $150/unit. To minimize production costs, the firm should A. increase both capital and labor B. decrease both capital and labor C. increase capital; decrease labor D. decrease capital; increase labor E. do nothing; costs are minimized
30. The production function is f(L, M) = 4L1/2 M¹2, where L is the number of units of labor and M is the number of machines used. If the cost of labor is $49 per unit and the cost of machines is $16 per unit, then what is the total cost of producing 5 units of output?