Questions from Management Science

Q: Explain why it is problematic to include a constraint such as the

Explain why it is problematic to include a constraint such as the following in an LP model for a blending problem: Total octane in gasoline 1 blend / Barrels of gasoline 1 blended daily ≥ 0

Q: In addition to the constraints already in the (original) advertising

In addition to the constraints already in the (original) advertising model, suppose General Flakes also wants to obtain at least 180 million exposures to men and at least 160 million exposures to wome...

Q: In the employee scheduling example, suppose the employees want more flexibility

In the employee scheduling example, suppose the employees want more flexibility in their schedules. They want to be allowed to work five consecutive days followed by two days off or to work three cons...

Q: In the employee scheduling example, suppose the company has 25 full

In the employee scheduling example, suppose the company has 25 full-time employees and is not allowed to hire or fire any of them. Determine a schedule that maximizes the number of weekend days off re...

Q: In the employee scheduling example, suppose that the company can require

In the employee scheduling example, suppose that the company can require the employees to work one day of overtime each week on the day immediately following this five-day shift. For example, an emplo...

Q: Modify Acron’s model so that development lasts for an extra year.

Modify Acron’s model so that development lasts for an extra year. Specifically, assume that development costs of $7.2 million and $2.1 million are incurred at the beginnings of years 1 and 2, and then...

Q: Extend SureStep’s original no-backlogging aggregate planning model from four to

Extend SureStep’s original no-backlogging aggregate planning model from four to six months. Try several different values for demands in months 5 and 6, and run Solver for each. Is your optimal solutio...

Q: SureStep is currently getting 160 regular-time hours from each worker

SureStep is currently getting 160 regular-time hours from each worker per month. This is actually calculated from 8 hours per day times 20 days per month. For this, they are paid $9.375 per hour (5150...

Q: The current solution to SureStep’s no-backlogging aggregate planning model requires

The current solution to SureStep’s no-backlogging aggregate planning model requires a lot of firing. Run a one-way SolverTable with the firing cost as the input variable and the numbers fired as the o...

Q: Suppose SureStep could begin a machinery upgrade and training program to increase

Suppose SureStep could begin a machinery upgrade and training program to increase its worker productivity. This program would result in the following values of labor hours per pair of shoes over the n...