� = 3.69 - 0.007999Q� + 0.000005359Q2�2 + 25.0X1�1     (3.69)   (3.08)   (3.42)   (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�1 = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Holding constant the effects of bank branching (X1�1), what is the level of total assets that minimizes the average operating expense ratio?

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:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter9: Applications Of Cost Theory
Section: Chapter Questions
Problem 1E
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A study of 86 savings and loan associations in six northwestern states yielded the following cost function.
C� = 3.69 - 0.007999Q� + 0.000005359Q2�2 + 25.0X1�1
    (3.69)   (3.08)   (3.42)   (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�1 = ratio of the number of branches to total assets ($ million)
Note: The number in parentheses below each coefficient is its respective t-statistic.
Holding constant the effects of bank branching (X1�1), what is the level of total assets that minimizes the average operating expense ratio?
$746.31 million
 
$1,562.70 million
 
$1,492.63 million
 
$461.31 million
 
 
What is the average operating expense ratio for a savings and loan association with the level of total assets determined in the previous part and 1 branch?
0.74%
 
1.17%
 
4.31%
 
3.72%
 
 
What is the ratio with 10 branches instead?
1.04%
 
4.61%
 
4.03%
 
1.48%
 
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