Q2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its product using data from 25 retail stores around Dover city for the month of November: Q-2000-15 Pje+ 8.4P + 0.51 +0.4A (220) (5.0) (5.6) (0.2) (0.16) R¹-0.57 F-6.83 Standard error n=25

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Q2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its
product using data from 25 retail stores around Dover city for the month of November:
Q=-2000-15 Pje+ 8.4Px + 0.51 + 0.4A
(220) (5.0) (5.6) (0.2)
(0.16)
R²=0.57 n=25
F = 6.83
Assume the following values for the independent variables:
Standard error
1
Q denotes quantity sold per month
Pje (denotes price of the bottled juice) = 240 (in cents)
P. (denotes price of leading competitor's product) - 300 (in cents)
I (denotes per capita income of the standard residential district in which the retail store is located)
= 4000 (in dollars)
A (denotes monthly advertising expenditure) = 7700 (in dollars)
Using this information, answer the following questions:
a. Compute elasticities for each variable..
b. Do you think that this firm should cut its price to increase its market share? Explain. (4 points)
c. Should this firm increase its advertising expenditure next month if it wants to promote its sales
of juice? Explain.
d. Which of the explanatory variables in the regression are statistically significant at the 0.05 level?
Explain.
e. What proportion of the variation in sales is explained by the independent variables in the equations?
How confident are you about this answer? Explain.
Transcribed Image Text:Q2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its product using data from 25 retail stores around Dover city for the month of November: Q=-2000-15 Pje+ 8.4Px + 0.51 + 0.4A (220) (5.0) (5.6) (0.2) (0.16) R²=0.57 n=25 F = 6.83 Assume the following values for the independent variables: Standard error 1 Q denotes quantity sold per month Pje (denotes price of the bottled juice) = 240 (in cents) P. (denotes price of leading competitor's product) - 300 (in cents) I (denotes per capita income of the standard residential district in which the retail store is located) = 4000 (in dollars) A (denotes monthly advertising expenditure) = 7700 (in dollars) Using this information, answer the following questions: a. Compute elasticities for each variable.. b. Do you think that this firm should cut its price to increase its market share? Explain. (4 points) c. Should this firm increase its advertising expenditure next month if it wants to promote its sales of juice? Explain. d. Which of the explanatory variables in the regression are statistically significant at the 0.05 level? Explain. e. What proportion of the variation in sales is explained by the independent variables in the equations? How confident are you about this answer? Explain.
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