Question: A safe has five locks v,w,x,y and z, all which must be unlocked for the safe to open. The keys to the lock are distributed

A safe has five locks v,w,x,y and z, all which must be unlocked for the safe to open. The keys to the lock are distributed among executives in the following manner:

Executive	Has keys for locks
A(lfredo)	v and x
B(arnes)	v and y
C(harles)	w and y
D(onaldson	x and z
E(lliott)	v and z

Using Boolean algebra,

(a) Determine all combinations of executives that can open the gate. [Write an expression f(A,B,C,D,E) when the safe is open as function of what executives are present.

(b) Determine the minimal number of executives required to open the safe.

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