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II. How long will it take to fill a rush order?

Washing out mixer bowl and mixing ingredient + Spooning cookie on to tray + Putting cookie in oven & setting timer and baking + Leaving for cool + Packing in a box + Accepting payment

6 + 2 + 10 + 5 + 2 + 1 = 26 min III. How many orders can you fill in a night, assuming you are open four hours each night?

Since the required resource for different stages are not all in common, Kristen and his roommate could process two orders simultaneously. However, before starting the second tray of cookie, we need to wait until Kristen is done with washing mixer bowl, mix ingredients and spooning cookie on to tray for the first tray, for which the time lag would be 6 + 2 = 8 min.

After Kristen are done with washing mixer bowl, mix ingredients and spooning cookie on to tray for the second tray, they would realize the oven is still in use of baking the first tray of cookie; therefore, we need to wait another 2 minutes for the availability of oven. Thus, the total time lag between the first and the second would be 8 + 2 = 10 min.

The expression of the number of minutes to produce n one-dozen batches is:

16+10n≤4*60

So we can get n≤22.4. The nearest integer is 22; therefore, we can fill 22 order in a night in maximum.…...

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