1. Assume a daily production function for a firm is Q=min(3L, 4K) a. If L 100 and K = 100 what quantity is produced? Explain why. b. What would be the cost-minimizing labor and capital combination for this firm to produce Q - 1200? (show your work) Labor Capital -

1. Assume a daily production function for a firm is Q=min(3L, 4K) a. If L 100 and K = 100 what quantity is produced? Explain why. b. What would be the cost-minimizing labor and capital combination for this firm to produce Q - 1200? (show your work) Labor Capital -

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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2. A firm has a production function given by the following table: Units of Labor 1 2 3 4 5 K=1 3 8 12 15 17 K=2 10 15 19 22 24 K=3 16 21 25 28 30 K=4 20 25 28 30 31 (1) Suppose that K is fixed at 2. Does this production function exhibit diminishing marginal returns? (ii) Does this production function exhibit constant returns to scale for all values of K and L?
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Consider the production function from earlier: Quantity of Haircuts 20 15 10 0+0 0 N 2 8 14 O Increasing marginal productivity O Constant marginal productivity O Decreasing marginal productivity 3 19 23 Labor (hours) 27 26 Total Product Curve From 1 labor hour up to 7 labor hours, what sort of marginal productivity does this production function have?
1. What should the firm do if the marginal product obtained from the last dollar spent on capital is smaller than the marginal product derived from the last dollar spent on labor and why? Graphically illustrate.
13. Suppose you have a production technology given by f(x1, x2) = min{2x₁, x2} and you are producing at the point where x₁ = 10 and x₂ = 20. (a) Explain in words what we mean (generally) by the ‘marginal product' of an input in production. (b) For the production technology in this question and the initial point x₁ = 10 and x2 = 20, what is the marginal product of a small increase in input 1? (c) Suppose input 2 increases and you are now at the initial point x₁ = 10 and x2 = 30. Relative to your answer in part (b), does the marginal product of input 1 decrease, increase, or stay constant? Explain briefly.
Q. Table 3 above shows how output varies with only one variable input used in production. If the cost of a unit of labor is $500, what is the approximate marginal cost of the 230th unit of output? a. $2.50 b. $8.50 c. $12.50 d. $50.00 e. $100.00
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Consider this production function. Study hours 2. 4 10 11 12 14 15 or more 13 Grade 20 33 42 50 57 63 69 73 78 81 84 86 88 89 90 1007 90 - 80 70 60 S0 40 30 20 10 Hours of study per day Select one or more: a. The average product of labour is falling as hours of study increase. O b. The marginal product of labour is constant as hours of study increase. O c. The marginal product of labour is rising as hours of study increase. U d. The marginal product of labour is zero beyond 15 hours. Final grade 9-
1. Suppose the production function is Q = 8L + 15K where Q is the quantity of output, L is the quantity of labor used in production, and K is the quantity of capital used in production. What can be said about this production function? It has Decreasing Returns to Scale It has Constant Returns to Scale It has Increasing Returns to Scale There isn’t enough information to determine the Returns to Scale for this production function 2. You’re dreaming of what to do during a nice summer day. You could mow the lawn which you would pay someone $15 to do for you. You could go for a walk which you value at $11. You could also take a nap and ignore everyone and everything else which you would pay $29 to do. If you to take a nap, what is your opportunity cost? Group of answer choices $29 $26 $15 $11