2 tricky optimization problems
I'm stuck with these two problems, I tried various ways of solving, but with no luck.
1. A rectangular page is to contain 180 square inches of print. The top and bottom margins are each 0.7 inches wide , and the margins on each side is 2 inches wide. What should the dimensions be if the least amount of material is to be used ?
Length of top(bottom) :
Length of side :
2. Suppose postal requirements are that the maximum of the length plus the girth (cross sectional perimeter) of a rectangular package that may be sent is 250 inches. Find the dimensions of the package with square ends whose volume is to be maximum.
Square side :
What to do? Thanks.
PS: solutions are due 8 pm today june 12th!