$1.$The optimal solution to this linear program is

A$)120*6+120*40=5520$

B$)40*16+40*40=2240$

C$)24*40+8*50=1360$

D$)24*26\mathrm{.}67+8*30=880$

E$)$ None of the above

Answer: C

$2.$ Assuming all other parameters remain unchanged, if the objective function coefficient associated with $$Bowls$$ decreases by $$8,$ what will be the change in the objective function?

A$.$Increases by $$200$

B$.$Decreases by $$200$

C$.$Increases by $$192$

D$.$Decreases by $$192$

Answer:

$3.$Assuming all other parameters remain unchanged, if the objective function coefficient associated with $$Mugs$$ increases by $$15,$ what will be the change in the objective function value?

A$.$Increase by $$185$

B$.$Decrease by $ $200$

C$.$Increases by $$120$

D$.$Decrease by $ $210$

Answer:

$4.$ Assuming all other parameters remain unchanged, if the objective function coefficient associated with $$Bowls$$ increases by $$24,$ what will be the change in the optimal solution?

a$.$ The optimal number of $$Bowls$$ decreases

b$.$ The optimal number of $$Bowls$$ remains the same.

c$.$ The optimal number of $$Bowls$$ increases

d$.$ The optimal number of $$Bowls$$ can either decrease or increases

Answer:

$5.$Assuming all other parameters remain unchanged, what is the range of the objective function coefficient $$Mugs$$ associated with for which the current optimal solution still remains optimal?

a$.$ Between $20$ and $25$

b$.$ Between $15$ and $40$

c$.$ Between $30$ and $80$

d$.$ Between $40$ and plus infinity

Answer:

$6.$If the $$Labor $$ constraint$$s right$-$hand side were $70,$ what would have been optimal profit of the Personal Mini Warehouses?

a$.$ $$1360-16*30=$$$1360-$$$480=$$$880$

b$.$ $$1360+16*30=$$$1360+$$$480=$$$1840$

c$.$ $$1200+16*30=$$$1680$

d$.$ $ $1350-6*30=$$$870$

Answer:

$7.$If the $$Clay$$ available were only $$80,$ what would Personal Mini Warehouses$$ new optimal profit be$?$

a$.$ $$3800$ $$1360-$$$6*40=$$$1360-$$$240=$$$1120$

b$.$ $$3700$ $$1360+$$$6*40=$$$1360+$$$240=$$$1600$

c$.$ $$3500$ $$1360-$$$16*40=$$$1360-$$$640=$$$720$

d$.$ $$3600$ $$1360+$$$16*40=$$$1360+$$$640=$$$2000$

Answer:

Conceptual Questions:

$1.$Sensitivity analysis may also be called

A$)$ postoptimality analysis.

B$)$ parametric programming.

C$)$ optimality analysis.

D$)$ All of the above

E$)$ None of the above

Answer:

$2.$Sensitivity analyses are used to examine the effects of changes in

A$)$ contribution rates for each variable.

B$)$ technological coefficients.

C$)$ available resources.

D$)$ All of the above

E$)$ None of the above

Answer:

$3.$The difference between the left$-$hand side and right$-$hand side of a less$-$than$-$or$-$equal$-$to constraint is referred to as

A$)$ surplus.

B$)$ constraint.

C$)$ slack.

D$)$ shadow price.

E$)$ None of the above

Answer:

$4.$The difference between the left$-$hand side and right$-$hand side of a greater$-$than$-$or$-$equal$-$to constraint is referred to as

A$)$ surplus.

B$)$ constraint.

C$)$ slack.

D$)$ shadow price.

E$)$ None of the above

Answer:

$5.$A constraint with zero slack or surplus is called a

A$)$ nonbinding constraint.

B$)$ resource constraint.

C$)$ binding constraint.

D$)$ nonlinear constraint.

E$)$ linear constraint.

Answer:

$6.$A constraint with positive slack or surplus is called a

A$)$ nonbinding constraint.

B$)$ resource constraint.

C$)$ binding constraint.

D$)$ nonlinear constraint.

E$)$ linear constraint.

Answer: