Suppose a Cobb-Douglas Production function is given byP (L, K) = 10L00.75 0.25where L is units of labor, K is units of capital, and P (L, K) is total units that can be produced withthis labor/capital combination. Suppose each unit of labor costs $700 and each unit of capital costs$2,100. Further suppose a total of $504,000 is available to be invested in labor and capital(combined).a. How many units of labor and capital should be "purchased" to maximize production subject tothe budgetary constraint? Round to the nearest whole number, if necessary.Labor: L=Capital: K-unitsMaximum production:unitsb. What is the maximum number of units of production under the given budgetary conditions?Round to the nearest whole number, if necessary.units

Production function: It is the mathematical representation of the relationship between input…

a. How many units of labor and capital should be "purchased" to maximize production subject to the budgetary constraint? Round to the nearest whole number, if necessary. Labor: L units Capital: K b. What is the maximum number of units of production under the given budgetary conditions? Round to the nearest whole number, if necessary. Maximum production: units units

a. How many units of labor and capital should be "purchased" to maximize production subject to the budgetary constraint? Round to the nearest whole number, if necessary. Labor: L units Capital: K b. What is the maximum number of units of production under the given budgetary conditions? Round to the nearest whole number, if necessary. Maximum production: units units

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

1. In the short run, an increase in output at low levels of production will most likely cause: A. an increase in the marginal cost due to the rising total fixed cost. B. an increase in the marginal cost due to the law of diminishing returns. C. a decrease in the marginal cost due to economies from greater specialization.
ِA- We have studied the production technology. Explain the concept with an example. B- We have studied labor-intensive technology and capital-intensive technology Explain the difference between the two production processes with an example of each?
In our paper airplane company, some inputs were fixed and some were variable. Match the input to whether it was VARIABLE or FIXED. Paper- Stapler- Staples- Employees- Production space-
Identify a correct statement about household production. O Household production is more likely to occur when the opportunity cost of household work is relatively small. O Household production is more likely to occur when it requires many specialized resources. O Household production is more likely to occur when tax avoidance is undesirable. O Household production is more likely to occur when less control over the final product is desirable. Household production is more likely to occur when technology makes it more costly than market production.
Which of the following statements about the use of resources is not one of the key questions in economics? a) How are resources used? b) Where are resources used? c) For what are resources used? Od) For whom are resources used?
You produce shoes (Q) with labor (L) and capital (K). The production process is as so: Q = 400L - 20L2 + 600K – 10K2 The cost of labor is $20 and the cost of capital is $30. You have a budget of $550. How many units of capital(K) should you rent/buy? Enter as a value.
Spot the economics in the following cases by identifying the concept described within the scenario and then briefly articulating your answers When parking violations in San Francisco were $100, there were 250,000 tickets given out. When violations went up to $175 there were 200,000 violations given. Ford produces trucks and loses ⅓ of a sedan for each truck produced. When it produces sedans, it loses 2 trucks per sedan produced. Driving down Mendocino Blvd, you notice a street crew working near campus. One worker is jackhammering away, while another removes the rubble. Both are extremely productive. Two workers are talking and having a smoke, while another three are having some coffee all while watching the first two workers. Recently, I attempted to cancel my SiriusXM subscription. I logged into their website and clicked on the “cancel subscription” link which I had a hard time finding because it was hidden in some obscure menu. When I clicked on cancel, a window popped up…
6 workers and 4 machines are required to produce 2 computers. 2 workers and 2 machines are required to produce 2 units of tomato. A. Find the labor and capital requirement per one computer and 1 unit of tomato? B. Which industry is a labor intensive? Capital intensive?
From the following production functions 1. Q= a1H + a2L + a3H2 + a4 L2 + a5HL, where ai> 0 2. Q = aH@ Ly, where a, @, y > 0 a. Derive the equation of the relevant isoquant. b. Find out whether the production function is well behaved. c. Examine whether the isoquant is well behaved and therefore represents the behaviour of a rational production. d. Derive equation which describes MRTS of 9ne factor. e. For each equation examine whether the production is homogeneous and if so, what is the degree of homogeneity. Is the equation characterized by IRTS, DRTS or CRTS.
Constrained Optimization: Cobb-Douglas Production Function:1. Based from the factor shares of the two inputs, what will happen to the number of output if it the firm decides to triple both the amount of labor and capital?2. State the optimization problem of the firm.3. Solve for the formulas of the Marginal Product of Labor (MPL), and Marginal product ofCapital (MPK)4. Using your knowledge of the tangency condition in Producer’s theory, find the combinationof K and L that the firm should use to produce the maximum possible output. Do not solvethe problem using the Lagrangian method.Note: The tangency conditions just states that the slope of the production function must beequal to the slope of the isocost function.5. What is the maximum possible output that the firm could earn given the constraint it faces?
Table 19.15 shows how the average costs of production for semiconductors (the "chips" in computer memories) change as the quantity of semiconductors built at that factory increases. a. Based on these data, sketch a curve with quantity produced on the horizontal axis and average cost of production on the vertical axis. How does the curve illustrate economies of scale? b. If the equilibrium quantity of semiconductors demanded is 90,000, can this economy take full advantage of economies of scale? What about if quantity demanded is 70,000 semiconductors? 50,000 semiconductors? 30,000 semiconductors? c. Explain how international trade could make it possible for even a small economy to take full advantage of economies of scale, while also benefiting from competition and the variety offered by several producers. Quantity of Semiconductors 10,000 20,000 30,000 40,000 100,000 Table 19.15 Average Total Cost $8 each $5 each $3 each $2 each $2 each
With the increase in the production which cost Increases continuously?