A factory owner purchases two types of machines, A and B for his factory. The requirements and the limitations for the machines are listed below. He has maximum area of 9000 \( m^2 \) available, and 72 skilled labourers who can operate both the machines. How many machines of each type should he buy to maximise the daily output.

Question

Machine	Area Occupied	Labour Force	Daily Outputs ( in units )
A	1000 \(m^2\)	12 men	60
B	1200 \(m^2\)	8 men	40