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

question 89

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 United States representative of all age brackets.They have split the United States into 2 regions: East and West.They want 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 and 35 and at least 40% to be between 36 and 69.The costs per person surveyed is given in the table below:
Assume that at least 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.Find the optimal solution and minimum cost.

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Definitions:

Proof Load

A specific load value, often used in testing, that a component or assembly can bear without permanent deformation or failure.

Tensile Strength

A measure of the maximum amount of stress a material can withstand while being stretched or pulled before breaking.

Minimum Yield Strength

The lowest stress at which a material begins to deform permanently, important in material selection for engineering.

Twisting Force

Also known as torque, it's the force that causes an object to rotate about an axis, fulcrum, or pivot.