A transportation model fills one-half of its cells under the optimal solution. Which of the following most closely describes the number of sources compared to the number of destinations?
A) 1 to 1
B) 2 to 2
C) 3 to 3
D) 4 to 3
E) 4 to 4

Question

Quizplus · Accepted Answer

In a transportation model, the number of cells is equal to the number of sources multiplied by the number of destinations. If one-half of the cells are being used, it means that one-half of the sources must be supplying to one-half of the destinations. The only option where this is possible is when there are 4 sources supplying to 3 destinations, as 4x3 = 12 (total cells), and half of these cells is 6, which can be filled when 2 cells are supplied by each source to each of the 3 destinations. Therefore, the best choice is D: 4 to 3.

A Transportation Model Fills One-Half of Its Cells Under the Optimal