In graphical linear programming, the objective function is:
(I) a family of parallel lines.
(II) a family of isoprofit lines.
(III) interpolated.
(IV) linear.
A) I only
B) II only
C) III and IV only
D) I, II, and IV only
E) I, II, III, and IV

Question

Quizplus · Accepted Answer

The objective function in linear programming is a linear equation in the variables of the problem. Therefore, it is linear (IV). The objective function determines the direction of optimization (maximization or minimization) and is represented graphically as a line. This line is part of a family of parallel lines (I) that represent different objective function values. The family of isoprofit lines (II) represents different levels of profit, but this is not the objective function itself. The objective function is not interpolated (III) since it is a well-defined linear equation.

In Graphical Linear Programming, the Objective Function Is