Tailwind, Inc., produces high-quality but expensive training shoes for runners. The Tailwind shoe, which sells for $210, contains both gas- and liquid-filled compartments to provide more stability and better protection against knee, foot, and back injuries. Manufacturing the shoes requires 10 separate tasks. There are 400 minutes available for manufacturing the shoes in the plant each day. Daily demand is 60. The information for the tasks is as follows: Performance Time Task (in minutes) 1 Н ABCDEFGH Task Must Follow This Task C, D ABB GAFG 324-325- E, H 25 312 | Required: a. Draw the precedence diagram showing the task precedence and their times b. Determine the cycle time associated with the rate of output required. c. What is the theoretical minimum number of work stations required to satisfy this output rate? d. Allocate the tasks to work stations taking into consideration the precedence requirements and using the LOT rule to break ties between feasible tasks. e. What is the efficiency of the line and the idle time percentage?
Tailwind, Inc., produces high-quality but expensive training shoes for runners. The Tailwind shoe, which sells for $210, contains both gas- and liquid-filled compartments to provide more stability and better protection against knee, foot, and back injuries. Manufacturing the shoes requires 10 separate tasks. There are 400 minutes available for manufacturing the shoes in the plant each day. Daily demand is 60. The information for the tasks is as follows: Performance Time Task (in minutes) 1 Н ABCDEFGH Task Must Follow This Task C, D ABB GAFG 324-325- E, H 25 312 | Required: a. Draw the precedence diagram showing the task precedence and their times b. Determine the cycle time associated with the rate of output required. c. What is the theoretical minimum number of work stations required to satisfy this output rate? d. Allocate the tasks to work stations taking into consideration the precedence requirements and using the LOT rule to break ties between feasible tasks. e. What is the efficiency of the line and the idle time percentage?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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