A company manufactures three products: X,Y and Z. Each product requires machine time and finishing time as shown in the following table:
  | 
 Machine Time 
 | 
 Finishing Time 
 | 
| 
 X 
 | 
 1 hour 
 | 
 4 hours 
 | 
| 
 Y 
 | 
 2 hours 
 | 
 4 hours 
 | 
| 
 Z 
 | 
 3 hours 
 | 
 8 hours 
 | 
The numbers of hours of machine time and finishing time available per month are 900 and 5000 respectively. The unit profit on X, Y, and Z is N6, N8 and N12, respectively. What is the maximum profit per month that can be obtained?