Establish whole numbers for the solution variables

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Reference no: EM13178007

A market research firm has been retained to conduct focus group interviews for a real estate company. Plans are made to classify participants to age: over 45 or 45 and under and as to whether or not they have recently bought and/or sold a house (within the last two years). Specific guidelines have been developed:

• At least 100 people must be selected
• At least 75% of the participants must have bought or sold a house recently
• Of those who have not bought or sold recently, at least 40% must be over 45 years of age
• No more than 40% of participants should be 45 or under

There are preliminary screenings with associated costs. The cost for each participant begins at $10. Additional contact with those over 45 raises the cost by $12. Additional time with the recent buyers and sellers adds $7 to the cost of including those participants. Formulate a linear integer programming model to determine the amount of and type of participants that minimizes total cost. Use integer programming to establish whole numbers for the solution variables.

Reference no: EM13178007

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