Design a ladder logic program that will cause output pilot light PL to be latched when pushbutton PB1 is closed, and unlatched when either pushbutton PB2 or pushbutton PB3 is closed. Also, do not...

Design a ladder logic program that will cause output pilot light PL to be latched when pushbutton PB1 is closed, and unlatched when either pushbutton PB2 or pushbutton PB3 is closed. Also, do not allow the unlatch to go true when the latch rung is true, nor allow the latch rung to go true when the unlatch rung is true. Enter the program into the PLC, and prove its operation