Questions from Management Science


Q: UE is going to invest $400 million to acquire companies in

UE is going to invest $400 million to acquire companies in the auto and/or electronics industry. How would you apply portfolio optimization to determine which companies should be purchased?

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Q: Your family owns a large farm that can grow wheat, corn

Your family owns a large farm that can grow wheat, corn, cotton, alfalfa, barley, pears, and apples. Each product requires a certain amount of labor each month and a certain number of hours of machine...

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Q: In the complementary-product pricing model, the elasticity of demand

In the complementary-product pricing model, the elasticity of demand for suits is currently 22.5. Use SolverTable to see how the optimal price of suits and the optimal profit vary as the elasticity va...

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Q: Modify the function in Example 8.1 so that it becomes

Modify the function in Example 8.1 so that it becomes f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5)(x - 6)(x - 7) for 1 ≤ x ≤ 7. Plot a lot of points from 1 to 7 to see what the graph of this function lo...

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Q: The file contains per capita data on annual advertising and annual unit

The file contains per capita data on annual advertising and annual unit sales in different regions of the country. Determine an S-shaped curve as described by Equation that can be used to determine ho...

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Q: The adoption level of a new product can often be modeled as

The adoption level of a new product can often be modeled as an S-shaped curve called the Pearl (or logistic) curve. The equation of this curve is Y = L / + ae-bt where Y is the adoption level, L is a...

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Q: In a typical production scheduling model like Pigskin’s, if there are

In a typical production scheduling model like Pigskin’s, if there are no production capacity constraints—the company can produce as much as it needs in any time period—but there are storage capacity c...

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Q: Sales of a product over time often follow an S-shaped

Sales of a product over time often follow an S-shaped curve. Two functions that yield S-shaped curves are the Pearl (or logistic) curve Y = L / + ae-bt and the Gompertz curve Y = Le-be-kt Here, Y is...

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Q: Visit biz.yahoo.com/r/. Under Research Tools

Visit biz.yahoo.com/r/. Under Research Tools, click on Historical Quotes, and then download the monthly returns on at least four stocks for the preceding 60 months. Use this data to determine the port...

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Q: Continuing the previous problem, determine the portfolio that minimizes the chance

Continuing the previous problem, determine the portfolio that minimizes the chance that you will lose money during any month, subject to a lower bound constraint on your expected monthly return. (The...

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