The vertices of the feasible region of the constraints are (a) (0, 0), (0, 3), (2, 3), (5, 0)
Complete question
The constraints of a problem are listed below. What are the vertices of the feasible region?
x + y ≤ 5
y ≤ 3
x ≥ 0
y ≥ 0
How to determine the vertices?
The constraints are given as:
x + y ≤ 5
y ≤ 3
x ≥ 0
y ≥ 0
The interpretation of the constraints are:
- x + y ≤ 5: The sum of x and y do not exceed 5
- y ≤ 3: y cannot exceed 3
- x ≥ 0 and y ≥ 0: x and y are at least 0
The vertices of the feasible region that satisfy the above highlights are: (a) (0, 0), (0, 3), (2, 3), (5, 0)
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