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QMB 3602 Final Exam Already Graded A+

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QMB 3602 Final Exam Already Graded A+ which of the following represents the marginal gain in the objective value that would occur if one more unit of a resource were added? ️shadow price the process of determining the effect of changing objective function coefficients, right hand side values of constraints, and decision variable values on a linear program is known as ️what-if analysis For a problem with two decision variables, which of the following statements about what-if analysis is true? I. What if analysis can be done graphically II. Solver will generate reports to assist with what if analysis III. Shadow prices will not be valid with only two decision variables ️Only I and II are true A parameter in a linear programming problem is said to be "sensitive" when ️small changes in the parameter lead to changes in the optimal solution If the objective function coefficient for a product is increased to a value above the allowable increase ️the optimal solution would change and the product would enter the solution (final value of the variable product would be greater than zero) if the objective function coefficient for a product decreased within the allowable range ️the optimal objective function value would stay the same in robust optimization, a constraint that cannot be violated is known as a ️hard constraint to determine if an increase in an objective function coefficient will lead to a change in final values for decision variables, an analyst can do which of the following? I. Compare the increase in the objective function coefficient to the allowable decrease II. Compare the increase in the objective function coefficient to the allowable increase III. Rerun the optimization to see if the final values change ️II. and III. only the allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate ️true a shadow price indicates how much the optimal value of the objective function will increase per unit increase in the right hand side of a constraint ️true the optimal solution is only optimal with respect to a particular mathematical model that provides only a representation of the actual problem ️true the purpose of linear programming study is to help guide managements final decision by providing

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QMB 3602 Final Exam Already Graded A+
which of the following represents the marginal gain in the objective value that would occur if one more
unit of a resource were added? ✔️shadow price



the process of determining the effect of changing objective function coefficients, right hand side values
of constraints, and decision variable values on a linear program is known as ✔️what-if analysis



For a problem with two decision variables, which of the following statements about what-if analysis is
true?



I. What if analysis can be done graphically

II. Solver will generate reports to assist with what if analysis

III. Shadow prices will not be valid with only two decision variables ✔️Only I and II are true



A parameter in a linear programming problem is said to be "sensitive" when ✔️small changes in the
parameter lead to changes in the optimal solution



If the objective function coefficient for a product is increased to a value above the allowable increase
✔️the optimal solution would change

and

the product would enter the solution (final value of the variable product would be greater than zero)



if the objective function coefficient for a product decreased within the allowable range ✔️the optimal
objective function value would stay the same



in robust optimization, a constraint that cannot be violated is known as a ✔️hard constraint



to determine if an increase in an objective function coefficient will lead to a change in final values for
decision variables, an analyst can do which of the following?

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