A golf club manufacturer is trying to determine how the price of a set of clubs affects the demand for clubs. The file P10_50.xlsx contains the price of a set of clubs and the monthly sales. Assume the only factor influencing monthly sales is price. Fit the following three curves to these data: linear (Y = a + bX), exponential (Y = abX), and multiplicative (Y = aXb). Which equation fits the data best? Interpret your best-fitting equation. Using the best-fitting equation, predict sales during a month in which the price is $470. File data: Price Demand $400 20,000 $420 19,000 $440 17,000 $460 16,000 $500 14,000 $380 22,000 $290 31,000 $340 26,000 $220 41,000 $700 6,000

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A golf club manufacturer is trying to determine how the price of a set of clubs affects the demand for clubs. The file P10_50.xlsx contains the price of a set of clubs and the monthly sales.

  1. Assume the only factor influencing monthly sales is price. Fit the following three curves to these data: linear (Y = a + bX), exponential (Y = abX), and multiplicative (Y = aXb). Which equation fits the data best?
  2. Interpret your best-fitting equation.
  3. Using the best-fitting equation, predict sales during a month in which the price is $470.

File data:

Price Demand
$400 20,000
$420 19,000
$440 17,000
$460 16,000
$500 14,000
$380 22,000
$290 31,000
$340 26,000
$220 41,000
$700 6,000
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