Questions from Management Science

Q: A classification algorithm was used to predict Yes/No values for

A classification algorithm was used to predict Yes/No values for a given training data set, and then the results were applied to 100 observations in a testing data set. The actual Yes/No values and th...

Q: Suppose you use Solver to find the optimal solution to a maximization

Suppose you use Solver to find the optimal solution to a maximization model. Then you remember that you omitted an important constraint. After adding the constraint and running Solver again, is the op...

Q: Consider an optimization model with a number of resource constraints. Each

Consider an optimization model with a number of resource constraints. Each indicates that the amount of the resource used cannot exceed the amount available. Why is the shadow price of such a resource...

Q: If you add a constraint to an optimization model, and the

If you add a constraint to an optimization model, and the previously optimal solution satisfies the new constraint, will this solution still be optimal with the new constraint added? Why or why not?

Q: If all of the inputs in PC Tech’s product mix problem are

If all of the inputs in PC Tech’s product mix problem are nonnegative (as they should be for any realistic version of the problem), are there any input values such that the resulting model has no feas...

Q: There are five corner points in the feasible region for the product

There are five corner points in the feasible region for the product mix problem. We identified the coordinates of one of them: (560, 1200). Identify the coordinates of the others. a. Only one of these...

Q: Using the graphical solution of the product mix model as a guide

Using the graphical solution of the product mix model as a guide, suppose there are only 2800 testing hours available. How do the answers to the previous problem change?

Q: Again continuing Problem 2, perform a sensitivity analysis where the selling

Again continuing Problem 2, perform a sensitivity analysis where the selling prices of Basics and XPs simultaneously change by the same percentage, but the selling price of VXPs remains at its origina...

Q: Consider the graphical solution to the product mix problem. Now imagine

Consider the graphical solution to the product mix problem. Now imagine that another constraint—any constraint—is added. Which of the following three things are possible: (1) the feasible region shrin...

Q: The ZapCon Company is considering investing in three projects. If it

The ZapCon Company is considering investing in three projects. If it fully invests in a project, the realized cash flows (in millions of dollars) will be as listed in the file P04_99.xlsx. For example...