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Question
Determine the region in the plane determined by the inequalities:
3x + 5y ≥ 45, x ≥ 0, y ≥ 0
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Solution
If 3x + 5y = 45
| x | 0 | 15 |
| y | 9 | 0 |
x ≥ 0 is nothing but the positive portion of Y-axis and y ≥ 0 is the positive portion of X-axis.
Shaded region is the required portions.
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