Automation System
Relay ladder logic is used in a PC because:

None of these
it is impossible to write a control program for a machine in any other logic
it is the best industrial control language ever developed.
All of these
most industrial control personnel are familiar with relay ladder logic diagrams and this is the easiest for them to use

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Automation System
Programmable controllers:

cannot perform functions other than relay logic
(a) and (c) above
None of these
are widely used in many different industries
are programmed using relay ladder logic

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