Suppose that a firm's production function is given by:150-Q = 14L-12140-130-120-110-100-for L=0 to 7, where L is labor input per day and Q is output per day. Derive and drawthe firm's demand for labor if the firm's output sells for $10 in a competitive market.The marginal product of labor (MP, ) is 14 - 2L.Using the line drawing tool, draw the firm's labor demand curve. Label this curve D, .70Carefully follow the instructions above, and only draw the required objects.50-30-20-10-10Quantity of labor (hours)Price of labor

A firm's demand curve (dd) for labor can be derived by multiplying the MPL (marginal product of…

Answered: Suppose that a firm's production…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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A firm has the production function Q(L, K) = √K + 2√L. The price of one unit of capital is R > 0, and the price of one unit of labor is W > 0. Which of the following statements is correct? The production function can be represented by a CES production function [aLº +6K²] for suitable values of b and p. a₂ The marginal rate of technical substitution is MRT Sık (L, K): 2√L √K O If W = R, the fi rm's demand for labor is four times the demand for capital. O The production function has increasing returns to scale.
Show full answers and steps to part d) e) & f)
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…
Please explain what numbers are being plugged in to get the answer.
am. 118.
A firm employs labor and capital by paying $40 per unit of labor employed and $200 per hour to rent a unit of capital. The production function is given by: Q=60L-2L^2+180K-3K^2, where Q is total output. Determine the firm's optimal combination of capital (K) and labor (L)?
A competitive firm uses two variable factors to produce its output, with a production function q = min{x1, x2}. The price of factor 1 is £8 and the price of factor 2 is £5. Due to a lack of warehouse space, the company cannot use more than 10 units of x1. The firm must pay a fixed cost of £80 if it produces any positive amount but doesn't have to pay this cost if it produces no output. What is the smallest integer price that would make a firm willing to produce a positive amount? А. £44 В. £41 С. £29 D. £13 Е. £21
Goleta Brewing Company hires only two types of labor, managers and brewing assistants (denoted M and B, respectively). GBC has the following Cobb-Douglas production function F(M,B) = M.5 B.5 and wants to produce 10 barrels of pale ale this week. If the wage of managers is $50 per hour and the wage of brewing assistants is $10 per hour, how many managers and brewing assistants should the firm hire (round to nearest whole number)? How does your answer change when the wage of managers decreases to $30 per hour and the wage of brewing assistants remains constant. Is this result consistent with your intuition?
Consider the following production function for shirts: q = v6 L3/4K/4, where L is worker-hours, and K is sewing machine-hours. a. Compute the marginal products of labor and capital, the average product of labor, and the marginal rate of technical substitution of labor for capital (i.e. how many units of capital are needed to make up for the loss of one unit of labor)? b. Are there diminishing returns to labor (that is, does the marginal product of labor decrease when labor L increases)? What about to capital? Is there diminishing marginal rate of technical substitution (MRTS)? с.
B. Suppose that your production process is characterized by the production function x = f(e) = 100 In ( + 1). For purposes of this problem, assume w > 1 and p > 0.01. a. Set up your profit-maximization problem. b. Derive the labor demand function. C. The labor demand curve is the inverse of the labor demand function with p held fixed. Can you demonstrate what happens to this labor demand curve when p changes? d. Derive the output supply function. e. The supply curve is the inverse of the supply function with w held fixed. What happens to this supply curve as w changes? (Hint: Recall that In x = y implies e' = x, where e ≈ 2.7183 is the base of the natural log.) f. Suppose p = 2 and w profit will you make? = 10. What is your profit-maximizing production plan, and how much
Please don't switch the subject to Advanced Math. For some reason whenever the subject is switched to those two. I don't receive any help it is a bug. please help me thank you.

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