# Math

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Your roommate also performs the last steps of the process by ﬁrst removing the cookies from the oven and putting them aside to cool for ﬁve minutes, then carefully packing them in a box and accepting payment. Removing the cookies from the oven takes only a negligible amount of time, but it must be done promptly. It takes two minutes to pack each dozen and about one minute to accept payment for the order.

A. What is the bottleneck? What is the flow rate?

Washing & Mixing – Flow time is 6 minutes – Flow rate is 12/6 = 2 cookies/min

Spooning the cookies – Flow time is 2 minutes – Flow rate is 12/2=6 cookies/min

Putting cookies in oven & setting Thermostat – Flow time is 1 minutes – Flow rate is 12/1= 12 cookies/min

Cooking cookies – Flow time is 9 minutes – Flow rate is 12/9= 1.333 cookies/min

Cool Down – Flow time is 5 minutes – Flow rate is 12/5= 2.4 cookies/min

Packaging them – Flow time is 2 minutes – Flow rate is 12/2= 6 cookies/min

Accepting payment – Flow time is 1 minutes – Flow rate is 12/1= 12 cookies/min

So the bottleneck is minimum of my resouces so that would be cooking cookies at 1.333 cookies/min