Asked by Chester

A manufacturer is building a box with no top. The box is constructed from a piece of cardboard that is 10 inches long and 15 inches wide by cutting out the corners and folding up the sides. The manufacturer wants to build a box with maximum volume. What dimensions maximize the volume of the box, and what is that volume?

A) The maximum volume occurs when the box has dimensions of length 9 inches, width 4 inches, and height 3 inches. The maximum volume of the box is 54 cubic inches.
B) The maximum volume occurs when the box has dimensions of length 9 inches, width 4 inches, and height 3 inches. The maximum volume of the box is 108 cubic inches.
C) The maximum volume occurs when the box has dimensions of length 11 inches, width 6 inches, and height 2 inches. The maximum volume of the box is 132 cubic inches.
D) The maximum volume occurs when the box has dimensions of length 11 inches, width 6 inches, and height 2 inches. The maximum volume of the box is 66 cubic inches.
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