You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community where producers are able to switch back and forth between cowpea and groundnut depending on market conditions. Consequently, you were tasked by the management of Zuku and you estimated the demand function for cowpea as follows: where  is the quantity of cowpea demanded in bags per month,  is the average price of cowpea in Ghana Cedis,  is the average price of groundnut in Ghana Cedis, and Y is the income of consumers. Assuming is initially GH¢31.00 per bag, Y is GH¢1001.50 Required: Find the resulting demand function for cowpea and determine the number of bags Zuku can sell at GH¢ 45.00 per bag.   Management is considering increasing price of cowpea by GH¢10.00 per bag. Advise management on this price change using the concept of price elasticity of demand. Explain why management should be worried about a reduction in the price of groundnut

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 30P: A company manufacturers a product in the United States and sells it in England. The unit cost of...
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You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community where producers are able to switch back and forth between cowpea and groundnut depending on market conditions. Consequently, you were tasked by the management of Zuku and you estimated the demand function for cowpea as follows:

where  is the quantity of cowpea demanded in bags per month,  is the average price of cowpea in Ghana Cedis,  is the average price of groundnut in Ghana Cedis, and Y is the income of consumers. Assuming is initially GH¢31.00 per bag, Y is GH¢1001.50

Required:

  1. Find the resulting demand function for cowpea and determine the number of bags Zuku can sell at GH¢ 45.00 per bag.  
  2. Management is considering increasing price of cowpea by GH¢10.00 per bag. Advise management on this price change using the concept of price elasticity of demand.
  3. Explain why management should be worried about a reduction in the price of groundnut
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