A company has two sets of test machines available for product inspection throughout the eight hour work day.
Set A: These machines can check 25 pieces per hour at the cost of $5/hour. There are up to 8 of these machines available.
Set B: These machines can check 15 pieces per hour at the cost of $4.50/hour. There are up to 10 machines available.
It is needed that at least 1,800 pieces are inspected daily, and the company wants to reduce the cost. Formulate this as a Linear Program and solve it. What does a non-integer solution mean (and is it a problem)?