Question

When using a general linear programming optimization model for transportation problems, if there are 4 sources and 3 destinations, which of the following statements is true? There are typically 12 decision variables and 7 constraints. There are typically 4 decision variables and 3 constraints. There are typically 12 decision variables and 12 constraints. There are typically 7 decision variables and 7 constraints.

Answer 1

There are typically 12 decision variables and 7 constraints. ( option A )

Explanation:

Given that there are 4 sources and 3 destinations The true statement is :

There are typically 12 decision variables and 7 constraints.

Because : In general linear programming optimization

number of decision variables in transportation = destination * source

= 3 * 4 = 12 variables

number of constraints = destination + sources = 3 + 4 = 7 constraints