Question: A manufacturing facility makes a product that requires tasks A, ... , H be completed in an order that obeys a set of precedence requirements.

A manufacturing facility makes a product that requires tasks A, ... , H be completed in an order that obeys a set of precedence requirements. The following table reports the performance time in minutes/unit and the preceding task(s) for tasks A, ... , H.

Task Performance Time Preceding Tasks
A 4 NA
B 5 NA
C 3 A, B
D 2 C
E 7 D
F 6 E
G 8 E
H 7 F, G

Four line configurations are proposed:

Configuration I has four stations:

  • Station 1: Tasks A and B; Station 2: Tasks C and D; Station 3: Tasks E and F; Station 4: Tasks G and H

Configuration II has three stations:

  • Station 1: Tasks A, B, and C; Station 2: Tasks D and E; Station 3: Tasks F, G, and H

Configuration III has eight stations:

  • Each station is assigned a single Task

Configuration IV has one station:

  • Station 1 is assigned tasks A, B, C, D, E, F, G, and H

The facility operates 6 hours/day. What is the daily output for Configuration I ? Specify as a whole number by rounding. What is the daily output for Configuration II ? Specify as a whole number by rounding. What is the cycle time for Configuration III ? Specify as a whole number by rounding. What is the daily output for Configuration IV ? Specify as a whole number by rounding.

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