Below is the production cycle for Kellogg. They currently produce each type for eight hours?
Diagram
Raw Materials -> Cereal Cooker (4tons/hr) -> Coating Drum (4tons/hr) [Set Up Time - Took 4hrs to switch between cereal runs]
Now the chain splits in two (Raising Bran Run / Frosted Flakes Run)
Raising Bran Hopper --> Raising Bran Packaging (1.5 tons/hr)
Frosted Flakes Hopper --> Frosted Flakes Packaging (1.5tons/hr)
COOK RAISIN BRAN - SETUP - COOK FROSTED FLAKES - SETUP
1. During one production cycle, for how many hours are they NOT making Raisin Bran?
A. 16 B. 8 C. 12 D. 4
2. For how many hours will the Raisin Bran hopper be able to provide cereal to the packaging line?
A. 12.33 B. 13.33 C. 11.33 D. 14.33
3. Suppose they are going to change how long each type of cereal is made during a production cycle (i.e. they will make Raisin Bran for either more or less time than 8 hours). To ensure packaging is not starved, for how long should they make Raisin Bran? Or, in the attached figure, what should X be??
COOK RAISIN BRAN (X hours) - SETUP (4 hours) - COOK FROSTED FLAKES (X hours) - SETUP (4 hours)
A. 10
B. 14
C. 6
D. 12
4. Suppose they are going to stick with making each type of cereal for eight hours, and instead are going to optimize the setup time. What is the longest the setup time can be without the packaging line being starved?
A. 3.21 hours
B. 2.32 hours
C. 1.89 hours
D. 2.67 hours