The Kalamazoo Brewing Company (KBC) currently sells its microbrews in a seven-state area: Illinois, Indiana, Michigan, Minnesota, Mississippi, Ohio, and Wisconsin. The company’s data analytics department has collected data from its distributors in each state. This data consists of the quantity of cases and price (per case) of microbrews sold in each state, as well as the average income (in thousands of dollars) of consumers living in various regions of each state. The data for each state are available in the Excel file on Brightspace--please note there are multiple tabs at the bottom of the spreadsheet, each refers to one of the seven states selling the Kalamazoo Brewing Company’s microbrews. You will use the data to estimate the linear demand function for their microbrews in Indiana. To do this, perform the regression analysis in Excel for the data provided for Indiana. a. Write out the estimated linear demand function for microbrews in Indiana as a function of the price per case (P) and average income of consumers (M). Round each estimated value to two decimal places. b. Assume that the average consumer income is M = $35. For what range of prices is the demand for KBC’s microbrews elastic in Indiana? Unitary elastic? Inelastic? c. At what price is total revenue in the Indiana market maximized if M = $35? What is the value of marginal revenue at this price? d. Are KBC’s microbrews a normal or an inferior good in Indiana? Explain briefly in a few sentenc
The Kalamazoo Brewing Company (KBC) currently sells its microbrews in a seven-state area: Illinois, Indiana,
Michigan, Minnesota, Mississippi, Ohio, and Wisconsin. The company’s data analytics department has collected
data from its distributors in each state. This data consists of the quantity of cases and
microbrews sold in each state, as well as the average income (in thousands of dollars) of consumers living in
various regions of each state. The data for each state are available in the Excel file on Brightspace--please note
there are multiple tabs at the bottom of the spreadsheet, each refers to one of the seven states selling the
Kalamazoo Brewing Company’s microbrews. You will use the data to estimate the linear demand function for
their microbrews in Indiana. To do this, perform the regression analysis in Excel for the data provided for
Indiana.
a. Write out the estimated linear demand function for microbrews in Indiana as a function of the price per
case (P) and average income of consumers (M). Round each estimated value to two decimal places.
b. Assume that the average consumer income is M = $35. For what range of prices is the demand for KBC’s
microbrews elastic in Indiana? Unitary elastic? Inelastic?
c. At what price is total revenue in the Indiana market maximized if M = $35? What is the value of
marginal revenue at this price?
d. Are KBC’s microbrews a normal or an inferior good in Indiana? Explain briefly in a few sentenc
Given data:
Quantity | Price | Income |
83 | 30.85 | 31.9 |
83 | 31.94 | 31.77 |
97 | 30.69 | 36.86 |
103 | 32.27 | 40.79 |
101 | 32.39 | 37.06 |
88 | 30.01 | 34.03 |
81 | 30.35 | 33.52 |
99 | 30.58 | 32.78 |
98 | 30.1 | 37.02 |
103 | 27.43 | 35.88 |
102 | 27.02 | 36.01 |
88 | 30.24 | 32.55 |
105 | 28.84 | 37.14 |
98 | 29.57 | 33.84 |
93 | 31.17 | 35.82 |
88 | 32.17 | 35.68 |
92 | 32.21 | 36.24 |
92 | 29.43 | 33.66 |
86 | 34.07 | 34.85 |
93 | 29.79 | 32.51 |
86 | 35.54 | 34.97 |
87 | 30.13 | 33.81 |
108 | 26.26 | 35.24 |
88 | 33.13 | 37 |
98 | 30.3 | 38.6 |
92 | 27.94 | 30.02 |
93 | 32.07 | 36.88 |
99 | 30.51 | 36.15 |
105 | 27.23 | 36.09 |
88 | 33.37 | 36.44 |
97 | 29.75 | 34.99 |
93 | 29.44 | 31.71 |
101 | 28.6 | 34.46 |
90 | 30.71 | 32.6 |
106 | 32.35 | 40.61 |
87 | 32.57 | 36.37 |
98 | 31.61 | 37.34 |
89 | 30.08 | 32.81 |
83 | 34.49 | 34.1 |
104 | 27.52 | 32.3 |
97 | 30.08 | 35.26 |
76 | 34.35 | 32.25 |
98 | 28.59 | 33.53 |
82 | 34.75 | 34.15 |
94 | 29.51 | 33.95 |
99 | 30.72 | 35.66 |
89 | 35.61 | 34.48 |
75 | 36.19 | 34.09 |
92 | 30.78 | 35.15 |
97 | 32.75 | 37.34 |
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