Wednesday, February 20, 2013

Kristen; S Cookie Company Case Study

Case study: Kristens cookie company

1 arcminute
2min/tray
5min/tray
Customer Order
Cookie
10min/tray
2min/tray
6min

1 How long will it take you to fill a shake up coiffe?
If its a order for 1 dozen, indeedce the time inevitable is:
6+2+10+5+2+1 = 26min
If its a order for 2 or 3 dozens, since the electric mixer can pass on and mix ingredients for up to 3 dozen cookies, then we even only need 6min in the basic demo.
For the second represent, we spoon the first dozen of cookies onto the tray, which will take us 2 minutes, and then we put this first tray into the oven and bake them, during the 10 min baking time we can utilize the time to spoon the second and the third tray. As a result, we founding fathert need extra time for stage 2.
For the baking stage, we will need an extra 10 minutes to bake another(prenominal) tray of cookies.
It is also the case for the cooling stage and the packing stage because these two stages takes 7min to fill and its less than the cooking stage. So when the oven is baking the second dozen, we can finish the comfort of the stages.
So the time needed is:
For 2 dozens: 6+2+10*2+5+2+1 = 36min
For 3 dozens:6+2+10*3+5+2+1 = 46min
If its a order for more than than 3 dozens, we can do the mixing stage when the first dozen of tray is being cooked.

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During the 10 minutes, we spend the first 4 minutes to spoon the second and the third dozen of cookies onto the tray and then we do the mixing stage again for the rest 6minutes. Technically, we dont need extra time for the first stage if we render a order of more than 3 dozens.
For the rest of the stages, the rule is the same as when we have a order of 3 or less than 3 dozens.
So if we have a order of n dozens(n>3, n is an integer), the time needed is:
6+2+10*n+5*n+2*n+1 = 16+10n min

2 How some(prenominal) orders can you fill in a night presumptuous you are open four hours each night?
check to the analysis in the first question, if we have orders the whole night, 16+10n <=4*60. then the number we can handle is 22.
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