Explore BrainMass
Share

Explore BrainMass

    Box Material Optimization

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    U-Pack-Em sells cardboard boxes for the do-it-yourself mover. Their most popular size has a volume of 2
    cubic feet. As shown in the figure below, the top and bottom are made using four flaps. The price of
    cardboard is $0.20/ft'. What are the raw materials cost and dimensions for the cheapest box that can be
    manufactured? (Be sure to show that it is, in fact a minimum by looking at the Hessian Matrix.)

    © BrainMass Inc. brainmass.com October 10, 2019, 7:28 am ad1c9bdddf
    https://brainmass.com/math/optimization/box-material-optimization-582526

    Attachments

    Solution Summary

    The solution gives detailed steps on finding minimum area and cost for a box. We use Hessian matrix to check the validity of minimum. Attached as Word.

    $2.19