ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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For the cost function C(Q) = 158 + 2Q + 2Q2, what is the average variable cost of producing 3 units of output? (Round your answer to two decimals as needed)
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- You are given a cost function of TC(Q)= 10,000+ 20 Q Assume Q = 500, initially. What higher Q would cause average cost to be reduced by 25%? a. 1,000 c. b. 2,000 d. 700 600arrow_forwardIntroduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of a firm, a topic in microeconomics. An important function is the cost function function C (z), the cost of producing z items (of whatever they are selling). This question deals with just the cost function C (z). Problem Set question: The cost, in dollars, of producing z units of a certain item is given by C (z) = 5z – 8/I – 3. Find the production level that minimizes the average cost per unit. The number of units that minimizes the average cost is Numberarrow_forwardThe cost function of a firm is given as C1 = 400 + 20Q + 4Q using this cost function what is the efficient scale of the firm?.arrow_forward
- For the given cost function C'(x) = 78400 + 200x + x², First, find the average cost function. Use it to find: a) The production level that will minimize the average cost X = b) The minimal average cost $arrow_forwardConsider the following cost function (C): C= 0.25q3 - 4q? + 75q + F. The equation for average cost (AC) is: AC = |. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) The equation for variable cost (VC) is: Vc=. (Properly format your expression using the tools in the palette.) The equation for marginal cost (MC) is: MC =. (Properly format your expression using the tools in the palette.)arrow_forwardSuppose you run a factory whose short-run production function is given by f (L) = 180L² – 3L³. (a) Find mathematical expressions for the total product of labor, the average product of labor and the marginal product of labor. (b) On two separate axes, graph TPL, APL, and M PL. The diagrams do not need to be scale, but be sure they are internally consistent. In other words, make sure that all relevant relationships between the three lines are correct. If you have trouble figuring out what the graph looks like, feel free to use a graphing calculator or an online graphing tool to find the basic shape. Find the quantity of labor associated with each of the following points and label it on your diagram: (i) the maximum value of TPL, (ii) the maximum value of APL, (iii) the maximum value of MPL. (c) For what values of L does the production function exhibit each of the following: i. increasing marginal labor productivity ii. diminishing marginal labor productivity iii. negative marginal labor…arrow_forward
- Consider the following cost function: 3 C=0.2q³-6q² + 80q + 150. (Enter a numeric response using a real number rounded to two decimal places.) When output is 19 units, average cost is $ When output is 19 units, marginal cost is $ The output level where average variable cost equals marginal cost is units.arrow_forwardFor the given cost function C(x) = 40000 + 700x + x² find: a) The cost at the production level 1700 b) The average cost at the production level 1700 c) The marginal cost at the production level 1700 d) The production level that will minimize the average cost e) The minimal average costarrow_forwardTotal Cost = C(x) = 0,005x^3 - 0,49x Lnx +5x Find : a. Average Cost Function b. Average Cost Minimumarrow_forward
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