Let the factory makes x pieces of item A and B by pieces of item.
Time required by item A (one piece)
cutting = 5 minutes, assembling
= 10 minutes
Time required by item B (one piece)
cutting = 8 minutes, assembling
= 8 minutes
Total time
cutting = 3 hours & 20 minutes,
assembling = 4 hours
Profit on one piece
item A = Rs 5, item B = Rs 6
Thus, our problem is maximized
From figure, possible points for maximum value of z are at (24, 0), (8, 20), (0, 25).
at (24, 0), z = 120
at (8, 20), z = 40 + 120 = 160 (maximum)
at (0, 25), z = 150
8 pieces of item A and 20 pieces of item B produce maximum profit of Rs 160.