First check the computer's power cord to make sure it is completely plugged into the wall socket. If you are using a plug strip, make sure it is completely plugged into the wall socket and the power switch on the plug strip is turned on. Some plug strips also have a built in circuit breaker which usually looks like a black or red button near the power switch. Press the button to reset it and see if that solves the problem.
If the PC has power and still does not power on it could be a dead power source (power supply / battery) and contact IT to handle the replacement for you.