A computer start-up company named Pear is considering entering the Philippine market with what they believe to be a smaller and faster computer than some of the existing products on the market. They want to get a feel for whether or not customers would be willing to switch from some of the existing bigger brands to consider their product. They want to collect a reasonable sample from across the Philippine representative of all age brackets. They split the Philippines into 2 regions: North and South. They want to at least 65% of their sample to cover the North and no fewer than 25% of the South. They also have divided the age groups into 3 categories: 18-35, 36-69, and 70 and up. They want at least 50% of their sample to be between 18-35 and at least 40% to be between 36-69. The cost per person surveyed is given in the table below: Region 18-35 36-69 70 and up North 2.5 2.00 1.5 South 3.5 3.00 2.00 Assume that exactly 1,000 people are to be surveyed. The problem is for Pear Company to decide how many people to survey from each age bracket within each region in order to minimize costs while meeting requirements.
A computer start-up company named Pear is considering entering the Philippine market with what they believe to be a smaller and faster computer than some of the existing products on the market. They want to get a feel for whether or not customers would be willing to switch from some of the existing bigger brands to consider their product. They want to collect a reasonable sample from across the Philippine representative of all age brackets. They split the Philippines into 2 regions: North and South. They want to at least 65% of their sample to cover the North and no fewer than 25% of the South. They also have divided the age groups into 3 categories: 18-35, 36-69, and 70 and up. They want at least 50% of their sample to be between 18-35 and at least 40% to be between 36-69. The cost per person surveyed is given in the table below: Region 18-35 36-69 70 and up North 2.5 2.00 1.5 South 3.5 3.00 2.00 Assume that exactly 1,000 people are to be surveyed. The problem is for Pear Company to decide how many people to survey from each age bracket within each region in order to minimize costs while meeting requirements.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A computer start-up company named Pear is considering entering the Philippine market with what they believe to be a smaller and faster computer than some of the existing products on the market. They want to get a feel for whether or not customers would be willing to switch from some of the existing bigger brands to consider their product. They want to collect a reasonable sample from across the Philippine representative of all age brackets. They split the Philippines into 2 regions: North and South. They want to at least 65% of their sample to cover the North and no fewer than 25% of the South. They also have divided the age groups into 3 categories: 18-35, 36-69, and 70 and up. They want at least 50% of their sample to be between 18-35 and at least 40% to be between 36-69. The cost per person surveyed is given in the table below:
Region
18-35
36-69
70 and up
North
2.5
2.00
1.5
South
3.5
3.00
2.00
Assume that exactly 1,000 people are to be surveyed. The problem is for Pear Company to decide how many people to survey from each age bracket within each region in order to minimize costs while meeting requirements.
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