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first derivative and area

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A printer is making a poster that will have a total area of 200 square inches and will have 1 inch margins on both sides, a 2 inch margin on the top and a 1.5 inch margin on the bottom. What dimensions will give the largest printed area? Or, what is the area of the printed region inside the margins?

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This solution encompasses the first derivative and area.

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Since both L and W are unknown, we need to setup two equations to solve for this.

A = L * W like you've stated and we know from the problem A = 200 , this gives the first equation [1]:

200 = L * W [1]

The second equation we setup is the maximization of the printed area Ap, this means it will be the L and W minus the ...

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