Select the statement that is true.An isoquant divides the set of input bundles into three regions, the efficientproduction, inefficient production, extra efficient production.For the same technology, two isoquants cannot cross.For a given technology, there can be many different production functionsrepresenting that technology.An isoquant can slope upwards in the short run.

In a market, a research will deal with various economic concept and to analyze all the concept it…

Answered: Select the statement that is true. An…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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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?
Grease Tech produces oil changes. The production of oil changes reles on both capital (K) and labor (L) and is combined in the following production function F (K, L) = KILL Take the derivative of this production function with respect to capital. What is the marginal product of capital evaluated at (le. just plug in the numbers) 64 units of capital used and 16 units of labor?
A production function is given by the following equation, where y is output, and x is input. Iny = 0.25 +0.4x When x is 5, what is y?
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The figure shows the production function of a farmer who produces grain by working certain hours each day. Which of the following statements is correct about this production function? a. The slope of the production function represents the marginal rate of substitution. b. The ceteris paribus assumption means that the farmer becomes more productive as he works more hours. c. A rightward movement from B along the production function implies that the farmer has better technology. d. This production function exhibits economies of scale. e. A technological improvement would shift up the production function
Suppose a firm could produce data storage services using two inputs: high capacity hard drive (200 TB) or low capacity hard drive (100 TB). What is the production function and what is a typical set of isoquant?
Consider the followng production function: 1 2 9 = x?x where x, and x, measure the employed quantities of input #1 and input #2, respectively. (a) Solve for and graph this firm's isoquant at q isoquant. 10. Please label three points along this (b) Does this production function exhibit increasing, decreasing, or constant returns to scale? Explain. Please corroborate your answer using a set of isoquants when the quantity of both imputs gets doubled. Note: Be sure to plot x2 along the y-axis.
The production function q = 9K0.8L0.1 exhibits: a. increasing retruns to scale b. constant returns to scale c. decreasing returns to scale d. none of the above The production function q = K1.2 + 3L1.2 exhibits a. increasing retruns to scale b. constant returns to scale c. decreasing returns to scale d. none of the above
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.
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. Draw isoquants for q = 1, q = 2 and q = 3 on a diagram with labour on horizontal axisand wool on vertical axis.
Maria produces pizzas using labor, an oven, and flour. When Maria uses 4 workers she can produce 100 pizzas per day. When she uses 8 workers, she can produce 175 pizzas per day. True or false: Maria's production function displays decreasing returns to scale. True or False
Problem 2 (a) Find an example of a production technology that is such that two inputs must be used in fixed proportions (hopefully a different one from the examples discussed in class). Explain why you chose this example. Draw a typical isoquant of the example you found. (b) Find an example of a production technology that is such that two inputs are completely inter- changeable. Explain why you chose this example. Draw a typical isoquant of the example you found. (c) Find an example of convexity of production technology. Explain why you chose this example. Draw a typical isoquant of the example you found.

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