The values of x and y which minimize N for the function N = 2x + y is x ≥ 2 and y ≥ 6
How to solve inequality equation
Given:
x + y ≥ 8 (1)
x + 2y ≥ 14 (2)
where
x ≥ 0, y ≥ 0
Subtract (1) from (2) to eliminate x
2y - y ≥ 14 - 8
y ≥ 6
2x + 2y ≥ 16 (3)
x + 2y ≥ 14 (2)
- Subtract (2) from (3) to eliminate y
2x - x ≥ 16 - 14
x ≥ 2
Therefore,
N = 2x + y
= 2(2) + 6
= 4 + 6
N = 10
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