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Optimization of business and economics

A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the page are to have 1.5 inches, and the margins on the left and right are to be in 1 inch. What should the dimensions of the page be so that the least amount of paper is used?

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Let Ap be the printable area.
Let At be the total area of the paper.
Let x be the width and y be the height of the paper.

So, Ap = (x-2)*(y-3) = 24
x = 2 + [24/(y-3)] --(1)

Now, ...

Solution Summary

This shows how to minimize paper usage for a given situation.