Economics: Principles and Policy (MindTap Course List)
13th Edition
ISBN: 9781305280595
Author: William J. Baumol, Alan S. Blinder
Publisher: Cengage Learning
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Chapter 7, Problem 8TY
To determine
Impact of sharing the feed on the marginal physical product of feed.
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A laundry cleans white clothes using a production function q = B + 2G, where B is the number of cups of Clorox bleach, G is the number of cups of a generic bleach that is half as potent, and q is the basketfuls of clothes that are cleaned. Draw an isoquant for one basketful of clothes. What is the marginal product of B? What is the marginal rate of technical substitution at each point on an isoquant?
Suppose a soap-manufacturing production process is described by the following
equation:
Y = a + b log K + с log L
Where,
Y= Output (number of soaps produced)
K=Capital
L=Labor
a, b and c are constants
Suppose 0<a<1, 0< b<1
a. Find the Marginal Product of Labor (MPL) and Marginal Product of Capital (MPK)
in the production of soap
b. Is MPL diminishing, increasing or constant as L increases?
c. Is MPK diminishing, increasing or constant as K increases?
Why does more inputs not necessarily translate into more output?
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Economics: Principles and Policy (MindTap Course List)
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- Isoquant curves and isocost curves are tools that can explain how a firm might best respond to changes in the production environment. Present an example of an isocost curve where labor and capital are the two inputs, and explain what it is using language someone not trained in economics could understand. Present an example of an isoquant in the same diagram you used for your isocost curve, and draw the isoquant so it cuts the isocost curve twice. Explain what an isoquant is using language someone not trained in economics could understand. Label the two points A and B, where the isocost and isoquant curves intersect. Present a logical argument that explains why the firm should operate neither at point A nor point B, and present a point that would be optimal by drawing a new isoquant curve in the diagram. Add a second isocost curve to your diagram such that the firm is spending more money on inputs. Add a third isoquant to your diagram to show a firm that would become more capital…arrow_forwardA firm can manufacture a product according to the production function:Q=F(K,L)=K^(3/4) L^(1/4).a.Calculate the average product of labour, AP_L, when the level of capital is fixed at 81 units and the firm uses 16 units of labour. How does the average product of labour change when the firm uses 256 units of labour? b.Find an expression for the marginal product of labour, MP_L, when the amount of capital is fixed at 81 units. Then, calculate the marginal product of labour for 16 and 81 units of labour. c.Suppose capital is fixed at 81 units. If the firm can sell its output at a price of $200 per unit and can hire labour at $50 per unit, how many units of labour should the firm hire in order to maximize profits?arrow_forwardA firm uses the inputs of Iron and labor to produce Cars. Suppose that the quantity of labor is fixed. The quantity of Iron and the number of Cars produced is given by the following table: Tons of Iron per week Number of Cars per week 0 0 10 50 20 100 30 170 40 220 50 250 60 260 70 250 80 200 What is the average product of Iron when 40 tons are used? What is the marginal product of the 60th ton Iron? Does this production function exhibit diminishing marginal returns? If so, at what quantity of Iron do they start to occur?arrow_forward
- Brian uses wool (K) and labour (L) to produce t-shirts (q). The production function is: q = min{1/3L, 2K}. The inputs are perfect complement.If he uses 0.5 kg of wool and 3 hours of labour, he can produce 1 t-shirt. The pice of wage per hour is given by w=$10 and the price of each kg of wool is given by r=$4. What is the long run total cost function, C(q)? Sketch it on the diagram.arrow_forwardConsider a production process where flowers are grown (the output) using gardeners (labor) and greenhouses (capital). The quantity of flowers grown per day with various combinations of labor and capital are shown in the table. Fill in the marginal product of labor in the table below. (Enter your responses as integers).arrow_forwardBrian uses wool (K) and labour (L) to produce t-shirts (q). The production function is: q = min{1/3L, 2K}. The inputs are perfect complement.If he uses 0.5 kg of wool and 3 hours of labour, he can produce 1 t-shirt. Draw isoquants for q = 1, q = 2 and q = 3 on a diagram with labour on horizontal axisand wool on vertical axis.arrow_forward
- What is sunk cost? Provide an example of sunk cost other than one from the book and explain it. Why are such cost irrelevant in making decisions about future actions?arrow_forwardJuan Valdez owns a coffee farm in Colombia. His production function is: f(x1,x2)=(x1−1)^0.25 x2^0.5 Assume the price of input 1 is r and the price of input 2 is w. (a) Write down an expression for the technical rate of substitution. (b) Find Juan's demand for inputs conditional on the quantity y of coffee Juan wants to produce. (c) Find Juan's cost function. (d) What is the supply function of Juan's firm?arrow_forwardWhy do you think that average and marginal cost curves have the same general shape?arrow_forward
- Gopher Excavators produces shovels in a small factory and sells the shovels in a competitive market. The following table shows the company's production function: Output (Number of workers) (Shovels) Labor 1 100 195 275 4 340 380 Use the blue points (circle symbol) to plot the production function for Gopher Excavators on the following graph. 40 Producion Function 340 100 130 40 LABOR (Number of workana) Calculate the marginal product of labor (MPL) of each worker, and then plot the MPL curve on the following graph using the blue points (circle symbol). Note: Remember to plot each point halfway between two integers. For example, when the number of workers increases from 0 to 1, the MPL of the first worker should be plotted with a horizontal coordinate of 0.5, the value halfway between 0 and 1. Line segments will automatically connect the points. (genoygl indinoarrow_forwardPrunella raises peaches. She uses L units of labor, and T units of land to produce peaches. Her production function is f(L, T)= L1/2T 1/2 A: Write the equation and plot the isoquant for the output quantity 4. B: What is the returns to scale of this production function? C: Find the marginal products of labor and land. What is the rate of technical substitution between land and labor? D: In the short-run, Prunella cannot vary the amount of land she uses. Plot the output as a function of labor only for the fixed level of land of T=1. E: Find the marginal product of labor from L=4 and show it on the graph. Is the marginal product of labor diminishing, constant or increasing in labor? F: Suppose wages are constant and equal w, fixed costs are zero. Find the short-run profit maximizing level of labor for T=1. Please see the attached photoarrow_forward
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