A rental car company has an imbalance of cars at seven of its locations. The following network shows the locations of concern $($the nodes$)$ and the cost to move a car between locations.

A positive number by a node indicates an excess supply at the node, and a negative number indicates an excess demand.

Which of the following constraints will be included in the LP model that determines minimum cost strategy to balance the cars at the seven locations.

Selected Answer:

b$.$

X$56+$X$76+$X$63=-4$

Answers:

a$.$

X$36+$X$56+$X$67=-4$

b$.$

X$56+$X$76+$X$63=-4$

c$.$

$-$X$56-$X$76+$X$63=-4$

d$.$

$-$X$65-$X$67+$X$63=-4$

e$.$

X$56+$X$76+$X$36=4$

f$.$

X$56+$X$76-$X$36=-4$