A transportation model has been selected to represent the production schedule of a product to meet demand over a twelve month planning horizon with 12 production nodes, on each of which is defined the production capacity for each month, and 12 demand nodes, on each of which is defined the demand for each month.If goods can be stored a maximum of 3 months, which of the following statements is not true?
A)There should be no arc from production node 1 to demand node 5.
B)There should be no arc from production node 5 to demand node 1.
C)There will be no feasible solution if demand in any one month cannot exceed the production capacity for that month.
D)There will be no feasible solution if the total demand of the first m months cannot exceed the total production capacity for the first m months.

Question

Quizplus · Accepted Answer

If demand in any one month cannot exceed the production capacity for that month, it means that it is not possible to satisfy the demand in that month, which makes it infeasible. This violates the basic feasibility condition of transportation problems, which requires the total supply to be equal to the total demand. Thus, statement C is not true. Statements A, B, and D are all true and valid conditions in a transportation model.

A Transportation Model Has Been Selected to Represent the Production