A safe has 5 locks v,w,x,y,z all of which must be unlocked for the safe to open The keys to the locks are distributed among five executives in the following manner: i. A has keys for locks v and x; ii.B has keys for locks v and y; iii.c has keys for locks w and y; iv.D has keys for locks x and z; v.Ehas keys for locks v and Z. vi.Find all the combinations of executives that can open the safe. Write an expression vii.f(A,B,C,D,E)which specifies when the safe can be opened as a function of which viii. Executives are present.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
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A safe has 5 locks v,w,x,y,z all of which must be unlocked for the safe to open

The keys to the locks are distributed among five executives in the following manner:

i. A has keys for locks v and x;

ii.B has keys for locks v and y;

iii.c has keys for locks w and y;

iv.D has keys for locks x and z;

v.Ehas keys for locks v and Z.

vi.Find all the combinations of executives that can open the safe. Write an expression

vii.f(A,B,C,D,E)which specifies when the safe can be opened as a function of which

viii. Executives are present.

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