Having decided to take a year off from studying during the Covid outbreak, Tom Trojan has established a successful smartphone repair business. His firm Trojan SmartPhix has 6 employees organized in 5 workstations shown below. The firm works 8 hours per day, and the demand (for repair) is 15 phones per day

• Workstation A: Tom receives smartphones, does the diagnosis of what needs to done, and dis-assembles the phone. This takes an average of 30 minutes per phone. He then routes the phone to the appropriate workstation for repair.
• Workstation B: 40% of all phones need screen replacement/repair. Toby replaces or repairs screens; this takes an average of 120 minutes per phone. The phone is then sent to Workstation E for inspection/payment and dispatch.
• Workstation C: 40% of all phones need the camera to be replaced/repaired. Tim and Tessa repair or replace the cameras; this takes on average 160 minutes per phone. 50% of these phones need, in addition, software fixes and are sent to Workstation D, while the remaining 50% are sent to Workstation E for inspection/payment and dispatch.
• Workstation D: 20% of all phones need software fixes/upgrades. Tricia upgrades/installs software; this takes on average 100 minutes per phone. The phones are then sent Workstation E for inspection/payment and dispatch.
• Workstation E: Tilly inspects/tests the phone to ensure the repair job is complete, takes payment (online) and dispatches the phone to the customer. On average these activities take 20 minutes per phone.

a) (4 points) What is the implied utilization and capacity of Workstation A in phones per day? Show your work.

b) (4 points) What is the implied utilization and capacity of Workstation C in phones per day? Show your work.

c) (4 points) What is the implied utilization and capacity of Workstation D in phones per day? Show your work.

d) (4 points) Suppose the implied utilization for Workstation B = 1.5 and the implied utilization for Workstation E = 0.625. Furthermore, suppose the capacity of Workstation B = 16 phones per day and capacity of Workstation E = 24 phones per day. Which station is the bottleneck? What is the capacity of Trojan SmartPhix is phones/day?

A: Tom-- Diagnosis/ Disassembly 40% 40% 20% B: Toby--Replace Screen C: Tim & Tessa-- Fix/Replace Camera 50% D: Tricia--Fix/Upgrade Software 50% E: Tilly--Inspection/Pay & Dispatch A: Tom-- Diagnosis/ Disassembly 40% 40% 20% B: Toby--Replace Screen C: Tim & Tessa-- Fix/Replace Camera 50% D: Tricia--Fix/Upgrade Software 50% E: Tilly--Inspection/Pay & Dispatch