A post office regulation is that the sum of the length and girth of a parcel must not exceed 6 feet. The largest volume in cubic feet of a parcel with square ends is

A)1
B)2
C)3
D)4
E)5

Question

A post office regulation is that the sum of the length and girth of a parcel must not exceed 6 feet. The largest volume in cubic feet of a parcel with square ends is
​
A)1
B)2
C)3
D)4
E)5

Quizplus · Accepted Answer

The largest volume is achieved when the length and girth constraint is fully utilized. For a parcel with square ends, the girth is 4x (where x is the side of the square), and the length is y. The constraint is 4x + y = 6. The volume V = x^2 * y. By substituting y = 6 - 4x into the volume formula and optimizing, the maximum volume is found to be 2 cubic feet.

A Post Office Regulation Is That the Sum of the Length