Microeconomics
11th Edition
ISBN: 9781260507140
Author: David C. Colander
Publisher: McGraw Hill Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 12.A, Problem 1QE
To determine
Determine the changes in the marginal rate of substitution, when a firm increases the use of one input, keeping the output constant.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider a firm that produces output using industrial robots and skilled labor. Suppose it is the case
that a reduction in the price of industrial robots causes the firm's labor demand curve for skilled
workers to increase (i.e., to shift to the right). This implies that:
There is diminishing marginal product of robots.
O There is diminishing marginal product of skilled labor.
O Robots and skilled labor are complements.
O Robots and skilled labor are substitutes.
The unit cost of skilled labor is below the unit cost of robots.
IV.
Will can produce a higher grade, Gw, on an upcoming
economic exam by studying. His production function depends
on the number of hours he studies marginal analysis problems,
A, and the number of hours he studies supply and demand
problems, R. Specifically, Gw = 2.5A0.36R 0.64. His roommate
David's grade production function is G) = 2.5A0.25R0.75
a. What is Will's marginal productivity from studying
supply and demand problems? What is David's?
b. What is Will's marginal rate of technical substitution
between studying the two types of problems? What is
David's?
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 indino
Chapter 12 Solutions
Microeconomics
Ch. 12.1 - Prob. 1QCh. 12.1 - Prob. 2QCh. 12.1 - Prob. 3QCh. 12.1 - Prob. 4QCh. 12.1 - Prob. 5QCh. 12.1 - Prob. 6QCh. 12.1 - Prob. 7QCh. 12.1 - Prob. 8QCh. 12.1 - Prob. 9QCh. 12.1 - Prob. 10Q
Ch. 12.A - Prob. 1QECh. 12.A - Prob. 2QECh. 12.A - Prob. 3QECh. 12.A - Prob. 4QECh. 12.A - Prob. 5QECh. 12.A - Prob. 6QECh. 12.A - Prob. 7QECh. 12 - Prob. 1QECh. 12 - Prob. 2QECh. 12 - Prob. 3QECh. 12 - Prob. 4QECh. 12 - Prob. 5QECh. 12 - Prob. 6QECh. 12 - Prob. 7QECh. 12 - Prob. 8QECh. 12 - Prob. 9QECh. 12 - Prob. 10QECh. 12 - Prob. 11QECh. 12 - Prob. 12QECh. 12 - Prob. 13QECh. 12 - Prob. 14QECh. 12 - Prob. 15QECh. 12 - Prob. 16QECh. 12 - Prob. 17QECh. 12 - Prob. 1QAPCh. 12 - Prob. 2QAPCh. 12 - Prob. 3QAPCh. 12 - Prob. 4QAPCh. 12 - Prob. 5QAPCh. 12 - Prob. 1IPCh. 12 - Prob. 2IPCh. 12 - Prob. 3IPCh. 12 - Prob. 4IPCh. 12 - Prob. 5IPCh. 12 - Prob. 6IP
Knowledge Booster
Similar questions
- 1. Juan Valdez owns a coffee farm in Colombia. His production function is: f (x1, x2) = (x1 – 1)0.25 x9-5. 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? 2. Show that the profit function is convex in (p, w). 3. Find the profit function for the Cobb-Douglas production function f(¤1, 12) = Ax†' x" with A > 0, a1, ¤2 > 0 and a1 + a2 0, B > 0, 0 < a < 1, and 0 + p< 1. 6. Find the profit function for the CES production function. 7. Verify Hotelling's Lemma for the CES production function with B < 1.arrow_forwardNow assume there is production in the economy. What is the relation between the marginal rate of substitution and the marginal rate of transformation in a general competitive equilibrium? Derive such relation and explain the intuition behind it.arrow_forwardWhat effect will a reduction in commodity price have on the input demand curve of the firmarrow_forward
- Juan 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_forwardA 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?arrow_forwardI have graphed the isoquant line but I can’t figure out how to graph the isocost line? Could you verify my math and show the isoquant and isocost line graphed please?arrow_forward
- A 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_forwardCan 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 machinearrow_forwardCalculate the elasticity of substitution for the production functionarrow_forward
- Suppose the price of labor used by a cost-minimizing firm decreases. The firm responds to the price change by changing its demands for certain inputs, but keeps its output constant. What happens to the firm’s use of labor? What happens to the firm’s production costs? Graphically show the new optimal bundle and associated isocost curve on the graph below.arrow_forwardConsider a beekeeper. The beekeeper has the following production function where the input is the number of hives and the output is quantity of honey produced. Beehives 1 2 3 4 5 6 7 8 9 10 11 Honey 12 23 33 42 50 57 66 71 75 78 80 The cost of installing a beehive is $100 and the price of a unit of honey (whatever that is...) is $20. Also each beehive increases the output of apples at a nearby apple orchard by $40. QUESTION 1,2,3 have already been answer I only need the explaination and answer for question 4 and 5 1. What is the efficient number of beehives? 2. If there are barriers to negotiation between the beekeeper and the orchardist, how many will the beekeeper install? 3. What if the same…arrow_forwardWhat is an isoquant? What is a marginal product? What is the technical rate of substitution? Explain the relationship between these terms.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Economics (MindTap Course List)EconomicsISBN:9781337617383Author:Roger A. ArnoldPublisher:Cengage Learning
Economics (MindTap Course List)
Economics
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Cengage Learning