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Question 1
How long will it take to fulfill a rush order? | Gantt Chart for Kristen's Cookie Case | | | | | | | | | | | | |

To fulfill the rush order it is still necessary to go through all parts of the process illustrated on the process flow diagram of the cookie-making process (it can be found on the last page). As there are no processes that can be done in a parallel way, every stage follows the other. Calculating the time needed for each step it can be concluded that the order can’t be prepared less than in 26 minutes.
Question 2
How many orders can you fill in a night, assuming you are open 4 hours each night?
We already know from the first question, the first dozen can be fulfilled in 26 minutes. Lets have a look, on the fastest possible way to prepare the second and all the following dozens. I can start preparing the 2nd order as soon as I start heating the oven (the chart visually demonstrates it): According to the chart it takes 26 minutes to fill the first order and 10 minutes more to fill each following order. From here we have:
Operating time = 4*60 = 240 minutes
The formula for counting the amount of orders that are able to be produced can be seen as: 16+10n <= 240 where n is the numbers of orders. From this equation we get, that n(max) = 22 dozen. So during 4 hours in a night one can prepare 22 dozen of cookies in 236 minutes.

Question 3

How much of your own and your roommate’s valuable time will it take to fill each order?
For Kristen it will take 6 minutes to do washing and mixing and 2 minutes for spooning. Total – 8 minutes.
For the roommate it takes 1 minute to put cookies into the oven and 3 minutes to pack cookies and accept payments. Total – 4 minutes.
Question 4

To calculate whether a discount in needed it is necessary to calculate the amount of valuable time that is spent on filling orders and the labor costs
For one-dozen order the amount of valuable time is following: 6 (washing) + 2 (spooning) +1 (putting in the oven) + 2 (packing) + 1 (payment) = 12 minutes
For two-dozen order the amount of valuable time is following: 6 (washing) + 2*2 (spooning) +1*2 (putting in the oven) + 2 * 2 (packing) + 1 (payment) = 17 minutes
For three-dozen order the amount of valuable time is following: 6 (washing) + 2*3 (spooning) +1*3 (putting in the oven) + 2 * 3 (packing) + 1 (payment) = 22 minutes
Now let’s count the labor costs:
Let's assume that our time cost 0,25\$ per minute. Amount of cookies | Valuable time spent | Cost | Cost per dozen | Available discount | 1 dozen | 12 minutes | 3\$ | 3\$ | 0 | 2 dozens | 17 minutes | 4,25\$ | 2,125\$ | 0,725\$ | 3 dozens | 22 minutes | 5,5\$ | 1,83\$ | 1,17\$ |

It is obvious that if customers order 2 or 3 dozens of cookies, it will be more lucrative for the producers, so they can offer around 15% discount.
As the cost of materials doesn’t change with the amount of orders (always \$0,60 per dozen, \$0,10 per package) than it won’t influence the amount of discount Kristen can offer.
Still it is quite important that the customers asked for the same ingredients in the cookies, otherwise the amount of time will increase and there will be no sense in offering discounts.

Question 5
How many electric mixers and trays will you need?
As it can be seen from the charts above, the mixer can make three dozens in one period of time, so only 1 mixer will be enough. The second tray is necessary as it allows not to waste time on cooling and waiting for the first tray. Total – 1 mixer and 2 trays
Question 6
The most of the time is spent on baking cookies in the oven. The baking process is the bottleneck of the whole process. Introduction of the second oven will improve the process and making it faster.
Baking
Baking
New flow diagram payments payments cooling cooling
Baking
Baking
Mix + spoon
Mix + spoon

The increase in the capacity of the oven makes it possible to start a new order every 5 minutes (instead of 10). If all orders are 1 dozen the new capacity is 7.5 dozen per hour.

Flow chart washing + mixing spooning put cookies
9 minutes/ 1 dozen
9 minutes/ 1 dozen
1 minute
1 minute
2 minutes/ 1 dozen
2 minutes/ 1 dozen
6 minutes/ up to 3 dozens
6 minutes/ up to 3 dozens order Completed order
Completed order
Packing+payment
Packing+payment
3 minutes
3 minutes o minutes/ 1 dozen o minutes/ 1 dozen
5 minutes
5 minutes removing cooling baking (oven)

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