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(Optimization problem) You have $500 to buy materials to build a box whose base length is...

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Basic Math

(Optimization problem) You have $500 to buy materials to build abox whose base length is seven times the base width and has no top.If the material for the sides cost $7/m2 and thematerial for the bottom costs $10/m2, determine thedimensions of the box that will maximize theenclosed volume. Show all work.

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