Minimize and maximize P = 30x + 10y Subject to : 2x + 2y ? 4 6x + 4y ? 36 2x + y ? 10 (with x and y ? 0) Min 20 at (2, 0), Max 150 at (5, 0) Min 20 at (0, 2), Max 180 at (6, 0) Min 20 at (0, 2), Max 160 at (3, 7) Min 20 at (0, 2), Max 150 at (5, 0)
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Step 1: Find the points of intersection of the given inequalities: - 2x + 2y = 4 - 6x + 4y = 36 - 2x + y = 10 Solving these equations, we find the points of intersection to be (2,0), (6,0), and (5,0). Show more…
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