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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?

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