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.

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

Step-by-step 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

x = 2

All sides have a measurement of 6.

Step-by-step explanation:

ΔRTS is equilateral. This means that all the sides are equal to each other, as well as the angles being equal as well.

We can set two sides equal to each other to solve for 'x'.

I used ST and RS.

Since we have the value of x, we can plug in 'x' in one of the sides and evaluate.

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Since the sides are equal in a equilateral triangle, all the sides have the measurement of 6.

Hope this helps you.