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Please solve. Thank you! (8 points) You have $1000 to buy the materials to build a box whose base length is six times the base

Please solve. Thank you!
(8 points) You have $1000 to buy the materials to build a box whose base length is six times the base width and has no top. If the material for the sides cost $15/cm and the material for the bottom cost $20/cm determine the dimensions of the box that will maximize the enclosed volume

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