Postal Regulations Specify That the Combined Length and Girth of a Parcel

question 168

Multiple Choice

Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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 .)

• A)x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches
• B)x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches
• C)x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches
• D)x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches
• E)x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches

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