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Question $1$

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The problem that deals with the distribution of goods from several sources to several destinations is the:

Question $1$Answer

a$.$

transshipment problem.

b$.$

assignment problem.

c$.$

network problem.

d$.$

transportation problem.

Question $2$

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The following table represents the cost to ship from Distribution Center $1,2,$ or $3$ to Customer A$,$ B$,$ or C$.$

The constraint that represents the quantity demanded by Customer B is:

Question $2$Answer

a$.$

$6$X$1$B $+2$X$2$B $+8$X$3$B $=350.$

b$.$

X$1$B $+$ X$2$B $+$ X$3$B $=350.$

c$.$

X$1$B $+$ X$2$B $+$ X$3$B $<=350.$

d$.$

$6$X$1$B $+2$X$2$B $+8$X$3$B $<=350.$

Question $3$

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The assignment problem constraint x$41+$ x$42+$ x$43+$ x$44<=3$ means:

Question $3$Answer

a$.$

a mixture of agents $1,2,3$ and $4$ will be assigned to tasks $1,2$ or $3.$

b$.$

agent $3$ can be assigned to $4$ tasks.

c$.$

agent $4$ can be assigned to $3$ tasks.

d$.$

There is no feasible solution.

Question $4$

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Consider the following network representation of shipment routes between plants, a distribution center, and retail outlets. The numbers next to the arcs represent shipping costs. For example, the cost of shipping from plant $1$ to distribution center $3$ is equal to $$2.$

Assume that Plant $1$ can supply $400$ units and Plant $2,500$ units. Demand at the retail outlets are: Outlet $4,300$ units; Outlet $5,250$ units; Outlet $6,450$ units.

Which constraint represents transshipment through the distribution center?

Question $4$Answer

a$.$

$2$X$13+3$X$23=900$

b$.$

X$13+$ X$23-$ X$34-$ X$35-$ X$36=0$

c$.$

X$13+$ X$23-$ X$34-$ X$35-$ X$36>=0$

d$.$

$2$X$13+3$X$23+5$X$34+4$X$35+3$X$36=0$

Question $5$

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The assignment problem constraint x$31+$ x$32+$ x$33+$ x$34<=2$ means:

Question $5$Select one:

A$.$

agents $1,2,3,$ and $4$ can be assigned up to $2$ tasks.

B$.$

agent $3$ can be assigned to $2$ tasks.

C$.$

a mixture of agents $1,2,3$ and $4$ will be assigned to tasks.

D$.$

agent $3$ can be assigned to no more than $2$ tasks.

Question $6$

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The difference between the assignment and the transportation problem is that:

Question $6$Select one:

A$.$

total supply must equal total demand in the assignment problem.

B$.$

the number of origins must equal the number of destinations in the transportation problem.

C$.$

each supply and demand value is $1$ in the assignment problem.

D$.$

both total supply must equal total demand in the assignment problem and the number of origins must equal the number of destinations in the transportation problem