Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 132 in.Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations.(Hint: Let the dimensions of the box be by
by
(see the figure below).Then,
, and the volume
.So that
.Maximize
.)
x = __________ inches
y = __________ inches
z = __________ inches
V = __________ cubic inches
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