A Computer Start-Up Named Pear Is Considering Entering the U

question 95

Essay

A computer start-up named Pear is considering entering the U.S. 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 U.S. representative of all age brackets. They have split the U.S. into 2 regions: East and West. They want to at least 65% of their sample to cover the East and no fewer than 25% of the West. 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 costs per person surveyed is given in the table below: Assume that exactly 1,000 people are to be surveyed. How many people should Pear Company survey from each age bracket within each region in order to minimize costs while meeting all requirements?

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Definitions:

Per Capita Real GDP

A measure of a country's economic output that accounts for its number of people, adjusting for inflation to represent the value of goods and services produced per person.

Expenditures Approach

A method for calculating GDP that sums total spending on goods and services within an economy, including consumption, investment, government spending, and net exports.

GDP

Gross Domestic Product is the summed monetary value of all ultimate goods and services generated inside a country's territory in a defined interval.

Per Capita GDP

A metric that measures a country's economic output per person, dividing the GDP of a country by its population; often used to compare economic prosperity across countries or regions.