Kristens Cookie Co A Case Solution

1. How long will it take you to fill a rush order from Kristen's Cookie Co.?

One Dozen Cookies Rush Order

In order to fill a rush order from Kristen’s cookie, the customer will place the order for the ingredients that they want to add to the cookies. Therefore, the time taken by the processes is defined in the table below:

Therefore, if there is a rush order and there are no other orders in the queue, it will take 26 minutes from start to finish for an order of one dozen cookies. This is lesser than the time promised by Kristen’s Cookie which is fresh cookies delivered in 1 hour. 

Two Dozen and Three Dozen Cookies Rush Order

Fulfilling the same order for a second dozen takes an additional 14 minutes since the only process which can take one dozen cookies at a time is the baking process, cooling, and payment process. 

2nd same order takes and additional:

A third dozen of the same order takes an additional 14 minutes since the same bottleneck of baking takes additional time. Therefore, a rush order of 3 dozen same flavored cookies will take 54 minutes. 

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

Different Orders for the Night

Open for 4 hours each night means 240 minutes. 

Since the first part of production takes 8 minutes, while the first batch is baking, the second batch's first part of production can be conducted if the order is different. In this way, the second-order which has been received subsequently only takes 18 minutes. While the second order is baking, the first part of the production of the third-order can be done, and therefore, it will also take 18 minutes to complete. 

Therefore, for different batches or orders for the night, assuming that each order is placed for a dozen cookies only, the following equation can determine the number of orders that can be fulfilled for the night:

240 = 26 + 18n (n being the number of subsequent batches being baked. 26 is the time taken for the first batch and 18 is the time taken for subsequent batches. 240 is the total time that Kristen cookies are open for each night)

N = 11.88. N+1 means 12 batches can be produced each night

This means that 12 dozen different flavored cookies can be produced each night.

3 Dozen Batches for the Night

Since 3 dozen same batches for the night take 54 minutes (as calculated in answer 1, we will calculate the time taken for the subsequent 3-Dozen batches. 

2nd batch of 3 dozen cookies will take:

The 2nd batch of 3 Dozen cookies will take 18+14+14= 46 minutes. The 14 minutes have been taken from answer 1 in which we calculated that the 2nd same order takes an additional 14 minutes. Therefore, the following equation can reveal the answer to how many 3 dozen batches can be produced in a single night:

240 = 54 + 46n (n being the number of subsequent 3-dozen batches being baked. 54 is the time taken for the first batch and 46 is the time taken for subsequent batches. 240 is the total time that Kristen cookies are open for each night)

N = 4.04. Adding the first batch means 5.04 batches rounded off to 5

Multiplied by 3 means 15 dozen, 3-dozen order cookies can be produced each night.

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

The time is taken by me to fill in each order:

Time is taken by the roommate to fill in each order:

This does not include the time that the machine (oven) takes to process and the process which is done automatically. The automated processes include baking (9 minutes) and cooling (5 minutes)