Note: Enter your answer withtout the dollar sign ($)For the cost function TC= 520 + 10Q + 5Q2, determine the average fixed cost of producing 5 units of output.

The objective of the question is to calculate the average fixed cost (AFC) for producing 5 units of…

Answered: Note: Enter your answer withtout the…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Craig and Javad run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's longrun production function is Q = 4KL, where Q is the number of reams produced, K is the quantity of capital rented, and L is the quantity of labor hired. The weekly cost function for the paper plant is C = 20K + 4L, where C is the total weekly cost. (a) What ratio of capital to labor minimizes Craig and Javad's total costs? (b) How much capital and labor will Craig and Javad need to rent and hire in order to produce 1,000 reams of paper each week? (c) How much will hiring these inputs cost them?
A firm estimates its production function as Q = -2.4 + 20*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2*L + $2.5*K + $1.75*F. The firm wishes to produce 400 units of output. Use Excel to find the cost minimizing amounts of L, K and F. How much F (Fuel) should the firm use?
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.
Consider the following short run cost function: TC = 4Q³ - 24Q² + 16Q + 100 Derive the expressions for marginal cost and average total cost. What can we infer about the range of output over which production shows increasing returns to labor and diminishing returns to labor?
A factory that you are managing has an hourly production process that can be represented by the following Cobb Douglas Production function: Q=10KL. The price of one unit of capital per hour is $20 and the price of one unit of labour per hour is $20. You have been instructed to produce 100 units per hour or Q-100. Find the optimal amount of labour and capital that you will be using, and compute the total cost.
A firm's total cost function is C=24x2−xy+8y2C=24x2−xy+8y2 and they are required to produce a combination of products totalling 128. In order words, the firm is subject to the constraint x+y=128x+y=128. What is the Lagrangian function?
The production function for a product is given by q = 100KL. If the price of capital is $120 per day and the price of labor $30 per day, what is the minimum cost of producing 1000 units of output?
Given the total cost equation: TC = 144 +2Q+Q² what is the average cost when the firm produces at the level of Q that yields the minimum average cost?
A firm produces plastic bins using labor (measured in man-hours) and capital (measured in machine-hours), according to the production function Q = f(L,K) = LK, where Q is the number of plastic bins produced. Suppose that the cost of labor is $20 per worker-hour and the cost of capital is $10 per machine-hour. What is the cost minimizing input combination if the firm wants to produce 28,800 plastic bins? Hint: The marginal products are MP, = K and MPg = L.
Consider a company that has fixed costs of $6,700 and a marginal cost of $26 per item. What is the company's average cost function? How many items must the company produce to have an average cost of $36.31 per item?
A firm has the following production function:q = ƒ (z1, z2) = z1αz2βc. Derive the firm's cost function (simplify)
= 100KL. If the price of capital is $81 per day and the price of labor is $27 dollars per day, what is the minimum cost Suppose the production function for a product is given by q of producing 900 units of output?

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Note: Enter your answer withtout the dollar sign ($) For the cost function TC= 520 + 10Q + 5Q2, determine the average fixed cost of producing 5 units of output.