For the Kristen’s Cookie Company Case, suppose that you have a large mixing bowl that can hold
ingredients for up to 6 dozen cookies. Due to this large bowl, the washing and mixing steps can now be
done in 8 minutes for up to 6 dozen cookies. Spooning still takes 2 minutes per tray (and each tray holds one dozen cookies) and mixed dough remains in the mixer until spooning. There is only one spoon. You now have a larger oven that can bake 3 dozen cookies simultaneously.
Assume that:
1. Each individual order requires cookies with the same ingredients.
2. All orders are of the same size.
3. There are enough orders to keep you always busy.
4. Loading the oven still takes negligible time.
5. Each order of cookies requires a different temperature from the orders that immediately precede and
follow it. So, different orders cannot be combined in the oven.
For order sizes of 1, 2, 3, 4, 5, 6, and 7 dozen cookies,
(a) Identify the bottleneck(s), and
(b) Establish the capacity of the entire process. You may ignore startup and shutdown effects. Please
answer in dozen/hour. Hint: Use the “Capacity” table from the class slides for your calculations. This is
the one with rows for processing time per order, cycle time (minutes per dozen), and capacity (doz / hr).
Indicate your final answer in a table showing order size in dozens, bottlenecks, and capacity (dozen/hour)

Respuesta :

Answer:Sure! Let's break it down:

a) For order sizes of 1 to 5 dozen cookies:

Mixing is the bottleneck because it takes the longest time.

The capacity of the process is 4.5 dozen/hour because mixing sets the pace.

b) For order sizes of 6 and 7 dozen cookies:

Mixing and spooning become the bottlenecks because we need time to mix the large batch and then spoon them onto trays.

The capacity remains the same at 4.5 dozen/hour because mixing still sets the pace, and spooning just adds to the time needed.

So, even when we have to make more cookies, the process can still make about 4.5 dozen cookies every hour because mixing is the slowest part.

Explanation:

Mixing: Mixing takes the longest time, so it sets the pace for how many cookies we can make. It's like the slowest person in a race.

Spooning: When we make a lot of cookies (6 or 7 dozen), we also need time to scoop them onto trays. So, mixing and spooning become the slow parts together.

Baking: We have a big oven, so it's not a problem. It can handle baking cookies for any order size without slowing us down.

Overall, we can make about 4.5 dozen cookies every hour, no matter the order size.