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1 answer:
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Answer:
0.61
Step-by-step explanation:
The computation of the probability of the working of the system is shown below:
But before that first we have to find out the total probability of sub-system i.e 2,3 and 4 i.e
= 0.48
Now the working of the system probability is
= 1 - [(1 - probability of component 1) × (1 - sub system probability)]
= 1 - [(1 - 0.75) × (1 - 0.48)]
= 1 - 0.39
= 0.61
Please find the attachment for better understanding.
Given 
subject to the constraint 
Let
.
The gradient vectors of
and 
are:
and 
By Lagrange's theorem, there is a number
, such that
It can be seen that has local extreme values at the given region.
Let
The gradient vectors of
By Lagrange's theorem, there is a number
It can be seen that