Matthew Slaney

you want to make a box out of a piece of tin 20cm by 20cm by cutting the squares out of the corners and folding them up the sides. If the box is to have a maximum volume, what are their dimensions?

A farmer has 54 m of fencing with which to build two rectangular animal pens with a common side. If the area of the pens if to be maximized, what are their dimensions?

The volume of a large soup can is 1L. The cost of the top is $0.002/cm^2 while the sides and bottom cost $0.001/cm^2.Find the minimum cost to pruduce the can given that the radius must be between 5cm and 10cm for shipping purposes.

Afarmer requires two rectangular corrals with a combined area of 200m^2. The cost of the fencing facing the road is $25/m while the sides cost $20/m. The back side of the corrals will be against the side of the barn, which is 40m long. what is the minimum...