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Kristen’s Cookie Company

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

Process Flow Diagram:

Assuming order is for one dozen of cookies, minimum time in which order can be fulfilled and money can be collected is simple addition of time taken to complete above sequential activities. Hence, time taken to fill a rush order would be:

(6+2+1+9+0+5+2+1)26 minutes.

  1. How many orders can you fill in a night, assuming you are open four hours each night?

Critical Path Model(CPM):

Making use of critical path model, we find that when cookies of batch 1 are made to cool down, roommate can make use of that spare time in putting second batch. Hence, CPM incorporates this precedence of activity as show above. From above diagram, we find that the minimum time to process 2 batches of 1 dozen cookies is 36 minutes. Using the same logic, we can generalize this in the form of formula for the number of minutes to produce n one dozen batches. This expression would be:

No. of minutes required to produce n one-dozen batches=16+10n

Time given=4 Hours=240 Minutes

Hence, 240=16+10n

n=22.4 or 22 batches of 1 dozen(approximately)

  1. How much of your own and your roommate's valuable time will it take to fill each order?

Assuming order is for one dozen of cookie:

time taken by me=Time taken by (washing, mixing and spooning the tray activities)= 8 Minutes

time taken by my roommate=Time taken by (setting timer, packing and collecting money activities)= (1+3)=4 Minutes

Remaining 12 minutes out of 26 minutes is accounted by baking and cooling process.

  1. Because your baking trays can hold exactly one dozen cookies, you will produce and sell cookies by the dozen. Should you give any discount for people who order two dozen cookies, three dozen cookies, or more? If so, how much? Will it take any longer to fill a two-dozen cookie order than a one-dozen cookie order?

Assuming economies of scale do no hold in this case and hence only cost that matters is labor cost.

One Dozen:

Two Dozen:

Three Dozen:

Assuming labor cost to be $ X per minutes,

Total cost includes raw material, box and labor cost. Out of these costs, only labor cost are negotiable and hence discount could be provided for more than 1 dozen per order. Maximum discount that can be provided(assuming m markup is always attained on cost) for each additional dozen per order would be:

5*X*(1+m), where X is labor cost in $ per minute, m is markup percentage.

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Yes, it takes longer duration to fill a two-dozen cookie order than a one-dozen cookie order.

But one more important thing to be considered while evaluating the discount and that is, time taken to complete the order. It is observed that time taken to complete 3 one-dozen order is same as one order of 3 dozen (46 minutes). Therefore, if labor cost is fixed (as decided by us), then we don’t find any advantage in giving discount to bigger orders(but that is not the case as explained below).

But if we get into details of process ...

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