OPTIMIZATION HELP PLEASE!?

A waste management company is designing a closed rectangular dumpster to hold trash. The dumpster must be twice as long as it is wide and must hold 72 cubic yards of trash. Find the dimensions of the dumpster that will minimize the surface area.

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  • Tim C
    Lv 7
    9 years ago
    Favorite Answer

    The dimensions are: W, 2W, and 72/(W*2W) to get 72 cubic yards. Write an expression for the area of each surface. The total area is the sum of the individual areas. Find the derivative of the Total area and set to zero.

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