The assumption necessary for a linear programming model to be appropriate means that the contribution to the objective function and the amount of resources used in each constraint are in accordance to the value of each decision variable.

The correct answer to the following question will be Additivity.

Explanation:

In linear programming, there are four mathematical assumptions such as :

The fact that the algebraic sum of the individual weighted effect is equal to the combined effect of the variables in an equation. Thus, the amount that ensures the total records used can be found by totaling the number of resources and the objective function used for all variables of decision is known as Additivity.

It should be (3.14)(18m)2(6m) which is B.