Answer
(1,2): z = 17
(2, 10): z = 70
(7, 5): z = 65
(8, 3): z = 58
The maximum is at (2, 10) and the minimum is at (1, 2)
Work Step by Step
Plug the coordinates into z = 5x + 6y
(1,2): z = 5(1) + 6(2) = 17
(2, 10): z = 5(2) + 6(10) = 70
(7, 5): z = 5(7) + 6(5) = 65
(8, 3): z = 5(8) + 6(3) = 58
The greatest value for z is at (2, 10) when it is 70. The smallest value is 17 at (1, 2)
