Find the value of the objective function z = 6x + 4y at each of the vertices (4, 3), (-3, -7), (-3, 7) (9, -6), and then state the maximum and minimum values of the function.

Question

Quizplus · Accepted Answer

For each vertex, we calculate the value of z = 6x + 4y. At (4, 3), z = 6(4) + 4(3) = 24 + 12 = 36. At (-3, -7), z = 6(-3) + 4(-7) = -18 - 28 = -46. At (-3, 7), z = 6(-3) + 4(7) = -18 + 28 = 10. At (9, -6), z = 6(9) + 4(-6) = 54 - 24 = 30. The maximum value is 36, and the minimum value is -46.

Find the Value of the Objective Function Z = 6x