A rectangular box is resting on the xy-plane with one vertex at the origin. The opposite vertex lies in the plane . Find the dimensions that maximize the volume.

(Hint: Maximize  subject to the constraint ).
?

A. 15 units × 12 units × 5 units
B. 11 units × 9 units × 5 units
C. 10 units × 9 units × 6 units
D. 15 units × 10 units × 6 units
E. 12 units × 11 units × 7 units


Answer: D

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