Maximize P=8x+8y Subject to 2x+y is less than or equal to 30 x+2y is less than or equal to 24 x, y is greater than or equal to 0 What is the maximum value of P?

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Maximize P=8x+8y Subject to 2x+y is less than or equal to 30 x+2y is less than or equal to 24 x, y is greater than or equal to 0 What is the maximum value of P?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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i dunno, whats the average bladder hold these days... sorry :)
You only need to check the vertices of the polygon <(0, 0); (15, 0); (12, 6); (0, 12)>.
It's not enough to check the vertices, you also need to check how the function behaves between the vertices and inside the area decided by the constraints. Check for maximas and insert them into the function to see which point gives the highest value of P.

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True, but this function is linear, thus it has no local extrema!
Ya, but for future assignments. :)

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