Which term best describes the number of solutions that will maximize the function below give the constraints listed ?

Note that in linear programming problem the objective function serves as mathematical function that allows describes the number of solutions that would maximize or in some cases minimize the functions given the constraints.

For example, the objective function Max Z = 6X+5Y is telling us the number of solutions that will maximize the functions of the constraints;

X+Y ≤ 9

3X+2Y ≤ 12

MrRoyal MrRoyal · Answer 2 · 2022-04-20T18:10:39+02:00

The term that describes the number of solutions that will maximize is one optimal solution

What is a maximized solution?

A maximized solution is the true value of an objective function such that the value of the objective function is at the highest

From the complete question, we have:

Constraints

x + 2<5

x-y<2

Objective function

F(x,y) = 2x+y

The constraints are linear inequalities, and they might have several solutions but only one solution would maximize the objective function

This solution is referred to as the optimal solution

Hence, the term that describes the number of solutions that will maximize is one optimal solution