Principles of Microeconomics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (12th Edition)
12th Edition
ISBN: 9780134421315
Author: Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7, Problem 3.1P
(a)
To determine
Total cost of each technique.
(b)
To determine
How may labor units are employed at each level of output.
(c)
To determine
Graphical illustration of total cost.
(d)
To determine
Total cost of each technique.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose that widgets can be produced using two different production techniques, A and B. The following table provides the total input requirements for each of five different total output levels:(Photo)Assuming that the price of labor (PL) is RO 2 and the price of capital (PK) is RO 3, calculate the total cost of production for each of the five levels of output using the optimal (least cost) technology at each level. How many labor hours (units of labor) would be employed at each level of output? How many machine hours (units of capital)? (Graph the total cost of production as a function of output. (put cost on the Y-axis). Which technology is the cheapest at all levels of output.
Select one:a. None of the other three answersb. Technology Bc. Neither A Nor Bd. Technology A
Demonstrate the following two scenarios with clearly and fully labeled graphs:The change in the optimal capital-labor ration if both inputs are perfect complements in production and both their prices increase by an identical percentage. Assume the total cost before and after the change in input prices remains the same.
The production engineers at Impact Industries have derived the optimal combinations of labor and capital. These are the only two inputs used by Impact. The following chart shows the combinations of labor and capital for three levels of output.
Q is the output level. L* is the optimal amount of labor. K* is the optimal amount of capital. The price of labor is $90 per unit. The price of capital is $15 per unit.
Q
L*
K*
120
5
20
180
7
7
240
12
24
a) If the manager of Impact Industries decides to produce 120 units, what will the long-run total cost and long-run average cost of producing 120 units? Show all calculations.
b) If the manager of Impact Industries decides to produce 180 units, what will the long-run total cost and long-run average cost of producing 180 units? Show all calculations.
c) If the manager of Impact Industries decides to produce 240 units, what will the long-run total cost and long-run average cost of producing 240…
Chapter 7 Solutions
Principles of Microeconomics, Student Value Edition Plus MyLab Economics with Pearson eText -- Access Card Package (12th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Similar questions
- The production engineers at Impact Industries have derived the optimal combinations of labor and capital. These are the only two inputs used by Impact. The following chart shows the combinations of labor and capital for three levels of output. Q is the output level. L* is the optimal amount of labor. K* is the optimal amount of capital. The price of labor is $90 per unit. The price of capital is $15 per unit. Q L* K* 120 5 20 180 7 7 240 12 24 a) If the manager of Impact Industries decides to produce 120 units, what will the long-run total cost and long-run average cost of producing 120 units? Show all calculations. b) If the manager of Impact Industries decides to produce 180 units, what will the long-run total cost and long-run average cost of producing 180 units? Show all calculations. c) If the manager of Impact Industries decides to produce 240 units, what will the long-run total cost and long-run average cost of producing 240…arrow_forwardThe production engineers at Impact Industries have derived the optimal combinations of labor and capital. These are the only two inputs used by Impact. The following chart shows the combinations of labor and capital for three levels of output. Q is the output level. L* is the optimal amount of labor. K* is the optimal amount of capital. The price of labor is $90 per unit. The price of capital is $15 per unit. Q L* K* 120 5 20 180 7 7 240 12 24 a) If the manager of Impact Industries decides to produce 120 units, what will the long-run total cost and long-run average cost of producing 120 units? Show all calculations. b) If the manager of Impact Industries decides to produce 180 units, what will the long-run total cost and long-run average cost of producing 180 units? Show all calculations.arrow_forwardConsider the following production function with inputs L and K: Q = (L 0.5 + K0.5)2. The input prices are r = 2 and w = 1. 1) What is the optimal use of labor and capital? 2) Consider a technological advacement such that Q = 2(L 0.5 + K0.5)2 and w = r = 1. What is the optial level of K and L? Any change in K/L? What is the new cost?arrow_forward
- Suppose a firm is using 1500 units of labour and 20 units of capital to produce 100 tonnes of mineral ore. The price of labour is $50 per unit and the price of capital is $800 per unit. The MPL equals 60 and the MPK equals 1200. In this situation, A. the firm is minimizing its costs. B. the firm should increase the use of both inputs. C. the firm could lower its production costs by decreasing labour input and increasing capital input. D. the firm could lower its production costs by increasing labour input and decreasing capital input. E. the firm should decrease the use of both inputs.arrow_forwardQ2. Suppose the production of airframes is characterized by a CobbDouglas production function: Q =LK. The marginal products for this production function are MPL = K and MPK = L. Suppose the price of labor is $10 per unit and the price of capital is $1 per unit. Find the cost-minimizing combination of labor and capital if the manufacturer wants to produce 121,000 airframes.arrow_forwardA firm’s technology (recipe for combining factors of production) has an impact on its costs. Given a firm has a technology Q(L,K) = L0.8K0.2 (Where L represents labour and K represents Capital), which of the following is/are necessarily true? A firm’s technology (recipe for combining factors of production) has an impact on its costs. Given a firm has a technology Q(L,K) = L0.8K0.2 (Where L represents labour and K represents Capital), which of the following is/are necessarily true? Costs are exponentially increasing (by an exponent of 0.6) The elasticity of substitution between the factors is σ=1 The firm will spend equal amounts on the Labour and Capital factors Returns to scale are decreasing Optimum amounts of inputs for a given output is found by the interaction of cost functions and technologyarrow_forward
- Demonstrate the following scenario with clearly and fully labeled graphs: The change in the optimal capital-labor ration if both inputs are perfect complements in production and both their prices increase by an identical percentage. Assume the total cost before and after the change in input prices remains the samearrow_forwardConsider the following two systems of production, which produce the same quantity. A (assemble by hand) requires: 35 workers 1 robot B (assemble by robot) requires: 5 workers 4 robots Price of one unit of inputs (thousands): worker: £2 robot: £50 Draw the axes of a cost diagram as follows: · units of labour on the x-axis, with a scale from 0 to 70 · units of capital on the y-axis, with a scale from 0 to 5. Now mark system A and system B as points on this diagram. Draw an isocost line at C = £120. Comment on which system you would choose, and why.arrow_forwardA firm’s production function is - y = f(X1, X2)= X11/2 + X1X2 , Where X1≥0, X2≥0 1. Write down the firm’s production possibility set, and its input requirement set. 2. Is this production function concave, quasi-concave? 3. Is this production function homogenous? 4. Find its returns to scale when X1=1, and X2=1arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage Learning
Microeconomics: Principles & PolicyEconomicsISBN:9781337794992Author:William J. Baumol, Alan S. Blinder, John L. SolowPublisher:Cengage Learning
Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:Cengage Learning
Microeconomics: Principles & Policy
Economics
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:Cengage Learning