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# Changes in Objective Function Coefficient

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The amount by which an objective function coefficient can change before a different set of values for the decision variables becomes optimal is the

a. optimal solution.
b. dual solution.
c. range of optimality.
d. range of feasibility.

https://brainmass.com/physics/right-hand-rule/changes-objective-function-coefficient-87945

#### Solution Preview

The range of optimality for an objective function coefficient is the range of that coefficient for which the current optimal ...

#### Solution Summary

The solution provides detailed explanations and references for the problem.

\$2.19

## If the coefficient for Activity 2 in the objective function changes to \$400, then the objective function value

Using Fig 1.1 attached for remaining questions

4) If the coefficient for Activity 2 in the objective function changes to \$400, then the objective function value:
a will increase by \$7,500
b will increase by \$2,750
c will increase by \$100
d will remain the same
e can only be discovered by resolving the problem

5) If the coefficient for Activity 1 in the objective function changes to \$50, then the objective function value
a will decrease by \$450
b is \$0
c will decrease by \$2750
d will remain the same
e can only be discovered by resolving the problem

6) If the coefficient for Activity 2 in the objective function changes to \$100, then
a the original solution remains optimal
b the problem must be resolved to find the optimal solution
c the shadow price is valid
d the shadow price is not valid
e none of the above

7) If the right hand side of resource b changes to \$80, then the objective function value:
a will decrease by \$75
b will decrease by \$150
c will decrease by \$225
d will remain the same
e can only be discovered by resolving the problem

8) if the objective coefficients of activity 2 and activity 3 are both decreased by \$100, then
a the original solution remains optimal
b the optimal solution may or not may remain the same
c the optimal solution will change
d the shadow prices are valid
e none of the above

10) If the right hand side of Resouce C changes to \$130 then:
a the original solution remains optimal
b the problem must be resolved to find the optimal solution
c the shadow price is valid
d the shadow price is not valid
e none of the above

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