Discussion on Kristen's Cookie Co. (A)
Questions:
1. How many orders can you fill in a night, assuming you are open four hours each night, and each order consists of only one dozen cookies?
2. If there are two ovens available for the production process, how many mixers are needed to maximize the production rate if each order consists of one dozen cookies. each order consists of three dozen cookies.
Answers:
1. Capacity of different stages:
Mixing: 10 orders per hour
Cooling: unlimited
Oven: 6 orders per hour
Capacity of “me” and roommate:
“me” – spooning: 30 orders per hour
Roommate – order receiving, packaging and payment receiving: 15 orders per hour.
The bottleneck of the process would be oven, whose capacity is 6 orders per hour.
Excluding the order receiving, mixing and spooning time of the first order (1+6+2=9 minutes) and the cookie cooling, packaging and payment receiving time of the last order (5+2+1=8 minutes), we have 3.72 hours which allows us to fill in 22.3 orders in one night. The number of orders has to be an integer. So, we can fill in orders.
2. A) each order consists of one dozen cookies
When there is only one mixer:
Capacity of different stages:
Mixing: 10 orders per hour
Cooling: unlimited
Oven: 12 orders per hour
Capacity of “me” and roommate:
“me” – spooning: 30 orders per hour
Roommate – order receiving, packaging and payment receiving: 15 orders per hour.
The bottleneck is the mixer, whose capacity is 10 orders per hour. So, adding one more mixer into the process would help increase the production rate.
When there are 2 mixers:
Capacity of different stages:
Mixing: 20 orders per hour
Cooling: unlimited
Oven: 12 orders per hour
Capacity of “me” and roommate:
“me” – spooning: 30 orders per hour
Roommate – order receiving, packaging and payment receiving: 15 orders per hour.
The bottleneck would be the ovens (12 orders per hour).
When there are mixers, the production rate is still constrained by the ovens.
Hence, two
1. How many orders can you fill in a night, assuming you are open four hours each night, and each order consists of only one dozen cookies?
2. If there are two ovens available for the production process, how many mixers are needed to maximize the production rate if each order consists of one dozen cookies. each order consists of three dozen cookies.
Answers:
1. Capacity of different stages:
Mixing: 10 orders per hour
Cooling: unlimited
Oven: 6 orders per hour
Capacity of “me” and roommate:
“me” – spooning: 30 orders per hour
Roommate – order receiving, packaging and payment receiving: 15 orders per hour.
The bottleneck of the process would be oven, whose capacity is 6 orders per hour.
Excluding the order receiving, mixing and spooning time of the first order (1+6+2=9 minutes) and the cookie cooling, packaging and payment receiving time of the last order (5+2+1=8 minutes), we have 3.72 hours which allows us to fill in 22.3 orders in one night. The number of orders has to be an integer. So, we can fill in orders.
2. A) each order consists of one dozen cookies
When there is only one mixer:
Capacity of different stages:
Mixing: 10 orders per hour
Cooling: unlimited
Oven: 12 orders per hour
Capacity of “me” and roommate:
“me” – spooning: 30 orders per hour
Roommate – order receiving, packaging and payment receiving: 15 orders per hour.
The bottleneck is the mixer, whose capacity is 10 orders per hour. So, adding one more mixer into the process would help increase the production rate.
When there are 2 mixers:
Capacity of different stages:
Mixing: 20 orders per hour
Cooling: unlimited
Oven: 12 orders per hour
Capacity of “me” and roommate:
“me” – spooning: 30 orders per hour
Roommate – order receiving, packaging and payment receiving: 15 orders per hour.
The bottleneck would be the ovens (12 orders per hour).
When there are mixers, the production rate is still constrained by the ovens.
Hence, two