Questions from Management Science


Q: In the current no-backlogging problem, SureStep doesn’t hire any

In the current no-backlogging problem, SureStep doesn’t hire any workers and uses almost no overtime. This is evidently because of low demand. Change the demands to 6000, 8000, 5000, and 3000, and reo...

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Q: In the SureStep no-backlogging problem, change the demands so

In the SureStep no-backlogging problem, change the demands so that they become 6000, 8000, 5000, 3000. Also, change the problem slightly so that newly hired workers take six hours to produce a pair of...

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Q: We saw that the natural way to model SureStep’s backlogging model,

We saw that the natural way to model SureStep’s backlogging model, with IF functions, leads to a nonsmooth model that Solver has difficulty handling. Another version of the problem is also difficult f...

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Q: Suppose, as a matter of corporate policy, that General Flakes

Suppose, as a matter of corporate policy, that General Flakes decides not to advertise on the “Rachael Ray” show. Modify the original advertising model appropriately and find the new optimal solution....

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Q: Use SolverTable in Chandler’s blending model to see whether, by increasing

Use SolverTable in Chandler’s blending model to see whether, by increasing the selling price of gasoline, you can get an optimal solution that produces only gasoline, no heating oil. Then use SolverTa...

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Q: Use SolverTable in Chandler’s blending model to find the shadow price of

Use SolverTable in Chandler’s blending model to find the shadow price of crude oil 1—that is, the amount Chandler would be willing to spend to acquire more crude oil 1. Does this shadow price change a...

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Q: Modify Acron’s model so that sales increase, then stay steady,

Modify Acron’s model so that sales increase, then stay steady, and finally decrease. Specifically, assume that the gross margin is $1.2 million in year 1, then increases by 10% annually through year 6...

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Q: How sensitive is the optimal solution (barrels of each input and

How sensitive is the optimal solution (barrels of each input and output sold and total revenue) to the required quality levels? Answer this by running a two-way SolverTable with these five outputs. Yo...

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Q: In Chandler’s blending model, suppose a chemical ingredient called CI is

In Chandler’s blending model, suppose a chemical ingredient called CI is needed by both gasoline and heating oil. At least 3% of every barrel of gasoline must be CI, and at least 5% of every barrel of...

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Q: In the current blending model, a barrel of any input results

In the current blending model, a barrel of any input results in a barrel of output. However, in a real blending problem, there can be losses. Suppose a barrel of input results in only a fraction of a...

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