Question: Use the graph of the region corresponding to the system of constraints to find the minimum and maximum values of the objective function subject to

Use the graph of the region corresponding to the system of constraints to find the minimum and maximum values of the objective function subject to the constraints. Identify the points where the optimal values occur.
1. Objective function:
z = 4x + 3y
Constraints:
x ‰¥ 0
y ‰¥ 0
x + y ‰¤ 5

6. 5(0, 5) 4- 3- 2- 1(0, 0) (5, 0) 1 2 3 4 5 6

2. Objective function:
z = 2x + 8y
Constraints:
x ‰¥ 0
y ‰¥ 0
2x + y ‰¤ 4

6. 5(0, 5) 4- 3- 2- 1(0, 0) (5, 0) 1 2 3 4 5 6 4 (0, 4) 3 2. (0, 0 (2, 0) -1 1 2 3

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