Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Time taken to receive order = 2 minutes

Ingredient mixing and cake loading = 8 minutes

Baking time = 30 minutes

Number of cakes oven can hold at a time = 3

Cooling time = 1 hour = 60 minutes

Cake packing = 2 minutes

Billing customer = 3 minutes

a. What is the capacity of the process, and what is the bottleneck?

The capacity of the process:

Within an hour : two bakings can be done =(30 minutes * 2) = 60 minutes

Also oven can hold 3 cakes, so, 3 cakes can be baked at a time.

Hence, 3 cakes in 30 minutes ;

6 cakes in an hour;

Hence, capacity of the process is 6cakes per hour.

The bottleneck is the oven, because if the number of ovens were to be increased, the process capacity will increase, similarly, if one of the oven gets faulty, then the process capacity reduces further.

b. What is the throughput time for a typical cake?

The throughput time, is the summation of all the time taken to fully complete an order :

Receipt of order + mixing + baking + cooling + packing + billing

2 + 8 + 30 + 60 + 2 + 3 = 105 minutes

c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?

(Throughput time / 60) * average number of order

(105/60) * 5

= 1.75 * 5

= 8.75