Tailwind, Inc., produces high-quality but expensive training shoes for runners. The Tailwindshoe, which sells for $210, contains both gas- and liquid-filled compartments to provide morestability and better protection against knee, foot, and back injuries. Manufacturing the shoesrequires 10 separate tasks. There are 400 minutes available for manufacturing the shoes inthe plant each day. Daily demand is 60. The information for the tasks is as follows: Task Performance Time        (In minutes) Task Must Follow         This task A 1 ___   B 3 A C 2 B D 4 B E 1 C.D F 3 A G 2 F H 5 G I 1 E,H J 3/25 I 1. What is the theoretical minimum number of work stations required to satisfy this output rate? 2. Allocate the tasks to work stations taking into consideration the precedence requirements and usingthe LOT rule to break ties between feasible tasks.

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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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:

Task

Performance Time

       (In minutes)

Task Must Follow

        This task

A

1

___

 

B

3

A

C

2

B

D

4

B

E

1

C.D

F

3

A

G

2

F

H

5

G

I

1

E,H

J

3/25

I

1. What is the theoretical minimum number of work stations required to satisfy this output rate?

2. Allocate the tasks to work stations taking into consideration the precedence requirements and using
the LOT rule to break ties between feasible tasks. 

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