A parcel delivery service will deliver a package only if the length plus the girth (distance around, taken perpendicular to the
length) does not exceed 116 inches. Find the maximum volume of a rectangular box with square ends that satisfies the delivery company's requirements.
1 answer:
Answer:
14449 inches^3
Step-by-step explanation:
length+girth=116 inches
w + 4x= 116
volume=x^2*w
w=116-4x
V=x^2* (116-4x)
for max value, dv/dx=0
dv/dx= 232x-12x^2
232x-12x^2=0
x=19.3333
w=116-4(19.33)
=38.67
V=19.33^2*38.67=14449 inches^3
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