Find the value of the objective function z = 3x + 5y at each of the vertices (0, 7), (7, 6), (-1, -1), and (-6, -1), and then state the maximum and minimum values of the function.
A) maximum 51, minimum 23
B) maximum -23, minimum 51
C) maximum 51, minimum -23
D) maximum -23, minimum -51

Question

Quizplus · Accepted Answer

The values of the objective function z = 3x + 5y at the given vertices are: at (0, 7), z = 35; at (7, 6), z = 51; at (-1, -1), z = -8; and at (-6, -1), z = -23. Therefore, the maximum value is 51 and the minimum value is -23.

Find the Value of the Objective Function Z = 3x