$($a$).$ Consider a refinery controller agent that controls petroleum$-$refining operations. The operator must determine when to change equipment controls by analysing specifications, schedules, logs and test results. Petroleum refinery transforms crude oil into products such as petrol, diesel, etc. Specify the task environment for this agent using PEAS parameters.

$($b$).$ How is a goal$-$based agent different from a utility$-$based agent? In which agent is the problem generator present?