Camyo Manufacturing produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day. The following table provides the time in minutes required by each part:
Part
|
Lathe
|
Drill Press
|
1
|
5
|
3
|
2
|
6
|
2
|
3
|
4
|
6
|
4
|
7
|
4
|
It is desired to balance the use of the two machines by requiring the difference between their total operation times not to exceed 30 minutes. The market demand limits the number of units produced of each part to at least 10 units. Additionally, the number of units of part 1 may not exceed that of part 2.