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Question
suppose that postal requirements specify that parcels must have length plus girth at most 84 inches. consider the problem of finding the dimensions of the square - ended rectangular package of greatest volume that is mailable. each square end is labeled with x and the remaining dimension is labeled with h. (a) express the length plus the girth in terms of x and h. 4x + h (b) determine the objective and constraint equations. what is the constraint equation? 4x + h = 84 what is the objective equation? the volume is v = □
Step1: Recall volume formula for rectangular - box
The volume \(V\) of a rectangular - box with length \(h\) and square base of side - length \(x\) is given by \(V=x\times x\times h=x^{2}h\).
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\(x^{2}h\)