$5.$ Design a PLC program and prepare a typical I$/$O connection diagram and ladder logic program that will correctly execute the hardwired control circuit in Figure $6-75.$

Assume: PB$1$ pushbutton used is an NO type.$$

$$ PB$2$ pushbutton used is an NC type.$$

$$ PS$1$ pressure switch used is an NO type.$$

$$ LS$1$ limit switch used has only one set of NC contacts.