Question

Using the geometric approach, we want to maximize the objective function z=6x+13y. Which of the following points will maximize z? Option 1: (2, 5) Option 2: (4, 3) Option 3: (1, 7) Option 4: (6, 2)

Answer 1

Explanation:

To maximize the objective function z = 6x + 13y, we want to find the point from the given options that yields the highest value of z. We can do this by calculating z for each option:

Option 1: (2, 5)

z = 6(2) + 13(5) = 12 + 65 = 77

Option 2: (4, 3)

z = 6(4) + 13(3) = 24 + 39 = 63

Option 3: (1, 7)

z = 6(1) + 13(7) = 6 + 91 = 97

Option 4: (6, 2)

z = 6(6) + 13(2) = 36 + 26 = 62