A Parcel Delivery Service Only Deliver Packages With Length Plus Girth Not Exceeding 108 Inches. A Rectangular Shipping Box With Square End X Inched On A Side Is To Be Used. If Full 108 Inches Is To Be Used, Express The Volume Of The Box V(x)?

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Oddman Profile
Oddman answered
The length will be (108-4x). The volume will be
  V(x) = (108-4x)x^2

The volume will be a maximum for x = 18 inches and length = 36 inches. Each horizontal tick is 2 inches. This is a plot of volume versus side length x.

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