Q1
a. The capacity for oven, assembling workers and cashier are:
oven: 20 patties/4 minutes→ (assume we need one patty per burger) 5 customers/min
assemblers: 2 customers/ 40 seconds→ 3 customers/min
cashier: 1 customer/6 seconds→ 10 customer/min
The capacity of this restaurant is 3 customers/min. The bottleneck are burger assemblers.
b. Now the capacity for the assemblers becomes 6 customers/min. The capacity for the whole store is 5 customers/min. Now the bottleneck is oven which has the lowest capacity.
c. Now the capacity of oven becomes 10 customers/min. The capacity for whole store is still 3 customers/min. Now the bottleneck are assemblers.
Q2:
a. The capacity for Tammy, oven, mixer and her roommate are:
Tammy: 10 minutes/dozen→ 6 doz/h; mixer: 8 minutes/dozen→ 7.5 doz/h
oven: 8 minutes/dozen→ 7.5 doz/h; Roommate: 4 min/dozen→ 15 doz/h
Because she may have many trays, the resource with lowest capacity is Tammy. So the capacity of this company is 6 doz/h and bottleneck is Tammy.
b. Now the capacity for Tammy, oven, mixer and her roommate are:
Tammy: 12 minutes/2 dozens→ 10 doz/h
Oven: 16 minutes/2 dozens → 7.5 doz/h
Mixer: 8 minutes/2 dozens→ 15 doz/h
Roommate: (2 minutes for setting oven, 4 minutes for packing and one minute for collecting money) 7 minutes/ 2 dozens→ 17 doz/h
So the capacity for whole shop is 7.5 doz/h. The bottleneck is oven.
c. In the question a, we learn that the bottleneck is Tammy, so cross train Tammy and her roommate can help improve the capacity for the whole store. If Tammy and her roommate can do the jobs of each other, the capacity for them becomes: 14 minutes/ 2 dozens→ 8.5 doz/h.
Q3:
a. According to the information provided, we can get the capacity, demand and implied utilization for each processes.
cut
grilled staff
veggies
cream cheese
wrap
demand
18 bagels/h
3 bagels/h
14 bagels/h
4 bagels/h
18 bagels/h
capacity
20 bagels/h
6 bagels/h
12 bagels/h
15 bagels/h
30...