Woods, Inc. is a toy manufacturer. Currently it manufactures wooden dolls and wooden trains.
The current number of carpentry hours available per day at Woods, Inc. is 100 hours. Dolls usually take about 1 hour of carpentry whilst trains take about 2 hours. The time it takes to paint these toys is similar, i.e. 1 hour each, but there are only 80 painting hours available per day. Wooden trains are not the biggest seller and hence Woods, Inc. tries to keep the manufacturing of wooden trains to be 40 or less per day. Currently, dolls sell for £1 whilst the wooden trains sell for £2. Let the number of trains be x and the number of wooden toys be y.
Given these constraints how can Woods, Inc. maximise profit?