Questions from Management Science


Q: Two companies are producing widgets. It costs the first company q21

Two companies are producing widgets. It costs the first company q21 dollars to produce q1 widgets and the second company 0.75q22 dollars to produce q2 widgets. If a total of q widgets are produced, c...

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Q: Why is it generally necessary to add nonnegativity constraints to an optimization

Why is it generally necessary to add nonnegativity constraints to an optimization model? Wouldn’t Solver automatically choose nonnegative values for the decision variable cells?

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Q: A company manufactures two products. If it charges price pi for

A company manufactures two products. If it charges price pi for product i, it can sell qi units of product i, where q1 = 80 - 2p1 + p2 and q2 = 100 - 3p2 + p1. It costs $8 to produce a unit of product...

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Q: A brewing company has $100,000 to spend on advertising

A brewing company has $100,000 to spend on advertising in four markets. The sales revenue (in thousands of dollars) that can be created in each market by spending xi thousand dollars in market i is gi...

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Q: Q&H Company advertises during soap operas and football games.

Q&H Company advertises during soap operas and football games. Each soap opera ad costs $75,000, and each football game ad costs $130,000. If S soap opera ads are purchased, they will be seen by 4S1/2...

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Q: A beer company has divided Bloomington into two territories. If the

A beer company has divided Bloomington into two territories. If the company spends x1 dollars on promotion in territory 1, it can sell 60x1/21 cases of beer there; and if it spends x2 dollars on promo...

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Q: A company uses raw material to produce two products. For $

A company uses raw material to produce two products. For $175, a unit of raw material can be purchased and processed into 3 units of product 1 and 4 units of product 2. If x1 units of product 1 are pr...

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Q: J&J has given you $12 million to spend on

J&J has given you $12 million to spend on advertising Huggys diapers during the next 12 months. At the beginning of January, Huggys has a 30% market share. During any month, 10% of the people who purc...

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Q: In the exchange rate model, suppose the company continues to manufacture

In the exchange rate model, suppose the company continues to manufacture its product in the United States, but now it sells its product in the United States, the United Kingdom, and possibly other cou...

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Q: Based on Kolesar and Blum (1973). Suppose that a company

Based on Kolesar and Blum (1973). Suppose that a company must service customers lying in an area of A square miles with n warehouses. Kolesar and Blum showed that when the warehouse(s) are located pro...

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