Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN: 9781305506381
Author: James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher: Cengage Learning
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Chapter 9, Problem 1.8CE
To determine
To ascertain the existence of scale of economics or diseconomies in operating a public high school based on the result of the study.
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The following cost-output data were obtained as part of a study of the economies of scale in operating a charter high school in Wisconsin:
(see attachment)
3. What type of cost-output relationship (linear, quadratic, cubic) is suggested by these statistical results?
4.What variables (other than enrollment) would appear to be most important in explaining variations in operating expenditures per student?
5.Holding constant the effects of the other variables ( through ), determine the enrollment level (Q) at which average operating expenditures per student are minimized. (Hint: Find the value of Q that minimizes the (∂C/∂Q function.)
6.Again, holding constant the effects of the other variables, use the ∂C/ ∂Q function to determine, for a school with 500 students, the reduction in per-student operating expenditures that will occur as the result of adding one more student.
7.Again, holding the other variables constant, what would be the saving in perstudent operating expenditures of an…
Chapter 9 Solutions
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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- (a) How would one estimate the full cost to an airline if one of its planes is held over for 24 hours in an airport for repair? (b) A company has spent $10 million to develop a product for market. During the product’s first two years, the company’s profit was $6 million. In recent years, the market was flooded by rival products and now the company is reassessing its product. If it abandons the product, it can recover $2 million of its original investment by selling its production facility. If it continues to produce the product, its estimated revenues for successive two-year periods will be $5 million and $3 million and its costs will be $4 million and $2.5 million. (After four years the plant will have zero resale value.) What would be the company’s best course of action? (c) Two decades ago, the global demand and supply curves for copper were: Qd = 15-10P and Qs = -3 + 14P, where Q is measured in millions of metric tons per year. Find the competitive price and quantity. Suppose that…arrow_forwardThe following cost-output data were obtained as part of a study of the economies of scale in operating a charter high school in Wisconsin: Students in Average Daily Attendance Midpoint of Values in Column A Operating Expenditure per Student Number of Schools in Sample (A) (B) (C) (D) 143-200 171 $531.9 6 201-300 250 480.8 12 301-400 350 446.3 19 401-500 450 426.9 17 501-600 550 442.6 14 601-700 650 413.1 13 701-900 800 374.3 9 901-1100 1000 433.2 6 1101-1600 1350 407.3 6 1601-2400 2000 405.6 7 Plot the data in columns B and C in an output (enrollment-) cost graph and sketch a smooth curve that would appear to provide a good fit to the data. Based on the scatter diagram in Question 1, what kind of mathematical relationship would appear to exist between enrollment and operating expenditures per student? In other words, do operating expenditures per student appear…arrow_forward1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. 2.38 0.006153Q 0.000005359Q² 19.2X1 C + + (2.62) (2.84) (3.16) (3.50) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q = output; measured by total assets ($ million) X1 = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: t0.025,7€ 1.99 .) Check all that apply. X1 Q2 What type of average cost-output relationship is suggested by these statistical results? Quadratic Linear Cubic Based on these results, what can we conclude about the existence of economies or diseconomies of scale in savings and loan associations in…arrow_forward
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