EBK ECONOMICS TODAY
18th Edition
ISBN: 9780133920116
Author: Miller
Publisher: YUZU
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Chapter 22, Problem 2FCT
To determine
Most suitable additive production methods for mass production on large scale of the similar items, might be associated with a large minimum efficient scale.
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Given = TC = f(q) = 0.3q2 -105q + 120,000
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firm's average cost (AC) per unit of output depends on the number of hours of skilled labor (S) and the number of hours of unskilled labor (U) employed in the production process. The firm's AC function is defined below. Determine the quantities of the two inputs that will result in production at the lowest possible average cost and determine the associated minimum average cost. AC-3S2+2U2-2SU-2S-6U+ 20
A firm's production function can be written as:Q = 5LKwhere Q represents output per day. The unit costs of inputs are $150 for labor (L) and$1,000 for capital (K). Determine the least cost combination of L and K when output isproduced at the rate of 1,000 tons per day. Determine the required outlay for 1,000 tons perday.
Chapter 22 Solutions
EBK ECONOMICS TODAY
Ch. 22 - Prob. 22.1LOCh. 22 - Prob. 22.2LOCh. 22 - Prob. 22.3LOCh. 22 - Prob. 22.4LOCh. 22 - Prob. aFCTCh. 22 - Prob. bFCTCh. 22 - Prob. cFCTCh. 22 - Prob. dFCTCh. 22 - Prob. eFCTCh. 22 - Prob. 1CTQ
Ch. 22 - Prob. 2CTQCh. 22 - Prob. 1FCTCh. 22 - Prob. 2FCTCh. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - Prob. 10PCh. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 15PCh. 22 - Prob. 16PCh. 22 - Prob. 17P
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- A firm's average cost (AC) per unit of output depends on the number of hours of skilled labor (S) and the number of hours of unskilled labour (U) employed in the production process. The firm's AC function is defined below. Determine the quantities of the two inputs that will result in production at the lowest possible average cost and determine the associated minimum average cost. AC = 3S2 + 2U2 - 2SU - 2S - 6U + 20arrow_forwardHow many units of output should each plant produce? Please specify your answer as an integer.arrow_forwardHere is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 +0.8q2 + %3D and the demand function of the product is: p(x) = 200 - 0.05q a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150? b. Interpret the results of the calculation in part (a) if it is related to cost, revenue and profit?arrow_forward
- List some practical limits to economies of scale; that is, when should a plant stop growing?arrow_forwardFor firm A, is the following an internal or external economy of scale? Firm A benefits from lower administration costs per unit as a result of opening a second factory.arrow_forwardFor the cost function CQ) = 75 - 40 - 202, the marginal cost of producing 5 units of outout is:arrow_forward
- Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.005x³ +0.07x² +19x + 700, and currently 35 chairs are produced monthly. a) What is the current monthly cost? b)What is the marginal cost when x = 35? c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. d)What would be the actual additional monthly cost of increasing production to 37 chairs monthly? a) The current monthly cost is $ (Round to the nearest cent as needed) b) The marginal cost when x = 35 is $ per item. (Round to the nearest cent as needed.) c) Use the result from part (b) to estimate the monthly cost of increasing production to 37 chairs per month. The monthly cost in increasing production to 37 chairs monthly is $ (Round to the nearest cent as needed) d) The actual additional monthly cost of increasing production to 37 chairs monthly is $ (Round to the nearest cent as needed.)arrow_forwardYou are given the following cost functions: TC=100+60Q−3Q2+0.1Q3TC=100+60Q−3Q2+0.1Q3 TC=100+60Q+3Q2TC=100+60Q+3Q2 TC=100+60QTC=100+60Q b). In each case, indicate the point at which diminishing returns occur. also indicate the point of maximum cost efficiency (i.e., the point of minimum average cost). c). For each function, discuss the relationship between marginal cost and average variable cost and between marginal cost and average. Discuss the relationship between average variable cost and average cost.arrow_forwardThe market for high-quality caviar is dependent on the weather. If the weather is good, there are many fancy parties and caviar sells for 300 SEK per kg. In bad weather it sells for only 200 SEK per kg. Caviar produced one week will not keep until the next week, i.e. it has to be sold and consumed the same week it is produced. A small caviar producer has a cost function given by C=5q2 - 50q + 1000 where q is the weekly caviar production. Production decisions must be made before the weather (and hence the price of caviar) is known, but it is known that good weather and bad weather each occur with a probability of 0.5. a) How much caviar should the firm produce per week if it wishes to maximise its expected profit? b) Suppose the owner of the firm has a utility function of the form U(π)=√π where π is weekly profits. What is the expected utility associated with the strategy in (a)? c) Suggest a weekly production level that would give the owner higher expected utility than the…arrow_forward
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