A company manufactures two products, A and B, using two machines I and II. To manufacture a unit of product A requires 6 minutes on Machine I and 5 minutes on Machine II. To manufacture a unit of product B requires 9 minutes on machine I and 4 minutes on machine II. There are 5 hours of machine time available in each work shift on machine I and 3 hours on machine II. The company realises a profit of $5 on each unit of product A and a profit of $7 on each unit of product B. The company wishes to determine the combination of products A and B that will yield the most profit. Let x be the number of product A to be produced. Let y be the number of product B to be produced.
The common constraints are x >= 0 and y >= 0
The other constraints are
6x + 9y <= 300 (constraint on machine I time)
5x + 4 y <= 180 (constraint on machine II time)
Can someone explain where the 300 and 180 came from?