A rectangular box is made by folding an cutting an 8″x10″ shet of paper. The Flap EF equals the height AB of the box.
EF + ED + DC + BC + AB = 10″
DC + CR + RS = 8″
The 8″x10″ sheet of paper costs $4.00.
It cost $0.02 per inch to cut the paper.
You can sell scrap paper at $0.06 per square inch.
It costs $0.20 per inch to tape up the corners.
You can sell the finished box for $0.30 per cubic inch.
Make such a box with a depth of 1.5 inches.
If you make cut AB = 1.5 inches, find:
volume of the box
cost of the cuts
value of the scraps
selling price of the box
surface area of the box outside, not including the flap
Build expressions above using AB = x inches