This document contains solutions to two logic circuit problems. For the first problem, the output X is the logic expression BCD + ABC', which represents the conditions where production is complete and all machines are shut down, or production is complete but not all machines are shut down. For the second problem, the alarm output X is the logic expression A'B + A'CD, which will be 1 when the door is open and ignition is on, or when the lights are on and ignition is off, indicating a potential security issue.