Economics Plus MyLab Economics with Pearson eText (2-semester Access) -- Access Card Package (6th Edition) (The Pearson Series in Economics)
6th Edition
ISBN: 9780134417295
Author: R. Glenn Hubbard, Anthony Patrick O'Brien
Publisher: PEARSON
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Chapter 11.A, Problem 8PA
To determine
Isoquant- Isocost line graph and minimizing cost.
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Can 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 machine
Exhibited in the table below are the two isoquants and the isocost for a hypothetical firm
A
B
C
D
E
F
Labor
40
28
18
10
4
0
Capital
1
2
3
4
5
6
Labor
80
38
28
20
14
10
Capital
1
2
3
4
5
6
Labor (P2/unit)
25
20
15
10
5
0
Capital
(P5/unit)
0
2
4
6
8
10
In a single graph, please perform the following:
A. Draw the Isoquant curve
B. Draw the isocost
C. Identify the optimal point which is tangent to the isoquant line. Please mark the spot as X.
D. How many units of capital and labor is the optimal combination
Briefly explain and graphically illustrate the property of diminishing marginal rate of technical substitution and its relation to marginal productivities.
Chapter 11 Solutions
Economics Plus MyLab Economics with Pearson eText (2-semester Access) -- Access Card Package (6th Edition) (The Pearson Series in Economics)
Ch. 11.A - Prob. 1RQCh. 11.A - Prob. 2RQCh. 11.A - Prob. 3RQCh. 11.A - Prob. 4PACh. 11.A - Prob. 5PACh. 11.A - Prob. 6PACh. 11.A - Prob. 7PACh. 11.A - Prob. 8PACh. 11.A - Prob. 9PACh. 11.A - Prob. 10PA
Ch. 11.A - Prob. 11PACh. 11.A - Prob. 12PACh. 11.A - Prob. 13PACh. 11.A - Prob. 14PACh. 11.A - Prob. 15PACh. 11 - Prob. 11.1.1RQCh. 11 - Prob. 11.1.2RQCh. 11 - Prob. 11.1.3PACh. 11 - Prob. 11.1.4PACh. 11 - Prob. 11.1.5PACh. 11 - Prob. 11.2.1RQCh. 11 - Prob. 11.2.2RQCh. 11 - Prob. 11.2.3RQCh. 11 - Prob. 11.2.4RQCh. 11 - Prob. 11.2.5PACh. 11 - Prob. 11.2.6PACh. 11 - Prob. 11.2.7PACh. 11 - Prob. 11.2.8PACh. 11 - Prob. 11.2.9PACh. 11 - Prob. 11.2.10PACh. 11 - Prob. 11.2.11PACh. 11 - Prob. 11.2.12PACh. 11 - Prob. 11.3.1RQCh. 11 - Prob. 11.3.2RQCh. 11 - Prob. 11.3.3RQCh. 11 - Prob. 11.3.4PACh. 11 - Prob. 11.3.5PACh. 11 - Prob. 11.3.6PACh. 11 - Prob. 11.3.7PACh. 11 - Prob. 11.3.8PACh. 11 - Prob. 11.3.9PACh. 11 - Prob. 11.3.10PACh. 11 - Prob. 11.4.1RQCh. 11 - Prob. 11.4.2RQCh. 11 - Prob. 11.4.3RQCh. 11 - Prob. 11.4.4PACh. 11 - Prob. 11.4.5PACh. 11 - Prob. 11.4.6PACh. 11 - Prob. 11.4.7PACh. 11 - Prob. 11.4.8PACh. 11 - Prob. 11.4.9PACh. 11 - Prob. 11.4.10PACh. 11 - Prob. 11.5.1RQCh. 11 - Prob. 11.5.2RQCh. 11 - Prob. 11.5.3PACh. 11 - Prob. 11.5.4PACh. 11 - Prob. 11.5.5PACh. 11 - Prob. 11.5.6PACh. 11 - Prob. 11.5.7PACh. 11 - Prob. 11.5.8PACh. 11 - Prob. 11.5.9PACh. 11 - Prob. 11.6.1RQCh. 11 - Prob. 11.6.2RQCh. 11 - Prob. 11.6.3RQCh. 11 - Prob. 11.6.4RQCh. 11 - Prob. 11.6.5RQCh. 11 - Prob. 11.6.6PACh. 11 - Prob. 11.6.7PACh. 11 - Prob. 11.6.8PACh. 11 - Prob. 11.6.9PACh. 11 - Prob. 11.6.10PACh. 11 - Prob. 11.6.11PACh. 11 - Prob. 11.6.12PACh. 11 - Prob. 11.6.13PA
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- What is technical rate of substitution? Show it graphically.arrow_forwardQ3) A chair manufacturer hires its assembly-line labor for $30 an hour and calculates that the rental cost of its machinery is $15 per hour. Suppose that a chair can be produced using 4 hours of labor or machinery in any combination. Graphically illustrate the isoquant and the two isocost lines for the current combination of labor and capital and for the optimal combination of labor and capital.arrow_forwardFor each of the following examples, draw a representative isoquant. What can you say about the marginal rate of technical substitution in each case? a) A firm finds that it can always trade two units of labor for one unit of capital and still keep output constant. b) A firm requires exactly two full-time workers to operate each piece of machinery in the factory.arrow_forward
- Q(A) Use the following information to show the producers equilibrium under the isoquant/ isocost approach. a) Data below shows the combinations of two factor of production. Use the following data and plot the isoquant curve. combinations units of uk unit of l A 18 2 B 12 3 C 9 4 D 6 6 E 4 9 F 3 12 G 2 18 (b) Let the price of labor is Rs 1 per unit and the price of capital is Rs.4. Total expenditure of the firm is Rs.36 then find two bundles to plot isocost line.arrow_forwardCalculate the marginal rate of technical substitution (MRTS)arrow_forwardWhen analyzing isoquants, if the marginal product of all inputs double, how would that change the input mix you would use to produce a given level of output?arrow_forward
- What Is marginal rate of substitution?arrow_forwardPresent a graph of the following. Label your graphs completely1. Using the isoquant map and isocost, show that combination M is the optimum combination of inputs and not combinations E and L.arrow_forwardConsider the following production function:F (K ,L) = 2K(a) Graph at least two isoquants and clearly identify at least one point in each Obtain the marginal rate of technical substitution (be sure to present all steps in your calculation).arrow_forward
- 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_forwardThe marginal rate of technical substitution represents the slope of?arrow_forwardAssume a firm is trying to produce q0 units of output at the lowest total cost. The wage decreases, rotating the isocost line as shown in the below graph. Make the necessary changes to the graph to show the input combination that will now produce q0 at the lowest total cost. Make sure you show the new levels of labor and capital.arrow_forward
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