A company is selling 1 gallon blocks of orange juice. your task is to design a rectangle box ( prism) that meet all the criteria below:
a) contains at least 231 cubic inches.
b)the height of the box must be exactly 1/4th of the width of the box.
c)the box is closed on all 6 sides.
d) the surface area of the box minimized.?
minimize 2(xy + xy/4 + y^2/4)
subject to xy(y/4) >= 231
x=5.29
y=13.22
h=3.30