Amazon regularly couriers rectangular packages overseas. The girth of a rectangular package is defined to be...

Amazon regularly couriers rectangular packages overseas. The girth of a rectangular package is defined to be the perimeter of a cross section perpendicular to the length.You prefer to use Speedy Couriers for your international deliveries, but they will only carry rectangular packages where the sum of length and girth is at most 150 cm. Find the dimensions of the package with the largest volume that they will carry. Assume that the critical point gives a maximum

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Expert Solution

Instead of the usual method of finding the gradient of a function and then finding the critical points and then checking the value of the Hessian at that point, we shall employ a different method called Lagrange's Multiplier method.

Colby Messinger answered 1 year ago

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