Answer :

Let the company manufactures x boxes of type A screws and y boxes of type B screws. We make the following table from the given data:

Thus according to the table, the profit becomes, Z=100x+170y

Now, we have to maximize the profit, i.e., maximize Z=100x+170y

The constraints so obtained, i.e., subject to the constraints,

2x+8y≤ 3600 [time constraints for threading machine]

Now will divide throughout by 2, we get

⇒ x+4y≤ 1800…………..(i)

And 3x+2y≤3600 [time constraints for slotting machine]

⇒ 3x+2y≤3600…………..(ii)

And x≥0, y≥0 [non-negative constraint]

So, to maximize profit we have to maximize Z=100x+170y subject to

x+4y≤ 1800

3x+2y≤3600

x≥0, y≥0

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