Woodworker Problem – Linear Programming
- Author:
- EDC in Maine
- Topic:
- Algebra, Area, Function Graph, Inequalities
A woodworker has a lathe and is making wooden goblets and candlesticks. It takes her 6 minutes to make a goblet and 3 minutes to make a candlestick. Each goblet uses 3/4 ft. (linear length) of wooden block and each candlestick uses 1 ft. (linear length) of the same type of wooden block. She has 20 hours available for making the goblets and candlesticks and has 250 linear feet of wooden block on hand. She makes a profit of $2 on each goblet and $1.50 on each candlestick. How many goblets and how many candlesticks should she make in order to maximize her profit?