Question
5, NATURAL MONOPOLY. YOU WILL USE THIS INFORMATION FOR THIS QUESTION PLUS THE NEXT TWO QUESTIONS. Your company is thinking about entering a new market.
5,
NATURAL MONOPOLY.
YOU WILL USE THIS INFORMATION FOR THIS QUESTION PLUS THE NEXT TWO QUESTIONS.
Your company is thinking about entering a new market. You have run a regression on the market demand, and the results are below. Quantity demanded is the dependent variable; price and income are the independent variables.
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.94123
R Square 0.8924844
Adjusted R Square 0.87267
Standard Error 2.34546124
Observations 33
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 53.9989 2.0318 3.5745 0.0117 40.6292 216.962
Price -0.50288 0.24733 -2.8958 0.01067 -1.6386 0.2079
Income 0.210694 0.24733 -2.8958 0.01067 -1.6386 0.2079
Round the Intercept to a whole number. Round the coefficients to one decimal place.
Assume "Income" is 60,000 and it just enters the function as "60" (as we've been doing all semester). Determine the demand function for this regression AND THEN use it to get the inverse demand function. Which of the following is the inverse demand function?
Multiple Choice
-
P = 180 - 2.5*Q
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P = 120 - 2*Q
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P = 60 - (1/2)*Q
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P = 132 - 2*Q
6,
NATURAL MONOPOLY.
YOU WILL USE THIS ANSWER PLUS THE ANSWER TO QUESTION 5 TO ANSWER THE NEXT QUESTION
This question follows Question 5. Below you have the ATC function for your firm.
ATC = 90 - .18*Q + .006*Q2
What is the "Q" associated with minimum ATC and what is ATC at that "Q"?
Multiple Choice
-
ATC is minimized at Q = 15 and when Q = 15, ATC = approximately 88.65
-
ATC is minimized at Q = 11 and when Q = 11, ATC = approximately 93.65
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ATC is minimized at Q = 25 and when Q = 25, ATC = approximately 80.65
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ATC is minimized at Q = 18 and when Q = 18, ATC = approximately 80.65
7,
NATURAL MONOPOLY.
USE YOUR ANSWERS TO QUESTION 5 AND QUESTION 6 TO ANSWER THIS QUESTION.
Based on your answers to Question 5 and question 6, which of the following is correct?
Multiple Choice
-
At the "Q" that minimizes ATC, P > ATC. Therefore this market is not a natural monopoly.
-
At the Q that minimizes ATC, P < ATC. Therefore this market IS a natrual monopoly.
-
At the "Q" that minimizes ATC, P is exactly = ATC, therefore this market COULD BE a natural monopoly.
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None of the above.
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