Problem Statement: You are a Manufacturing Engineer employed at a prefabricated home building plant. You have to program a pneumatic nail hammering device to pound a nail into a roof joist. The joists are made of either of two species of lumber: oak or pine, oak being the denser of the two. If the joist is made of pine, then the operator signals this with a PINE momentary pushbutton and the hammer is actuated three times. The hammer is controlled by a single$-$acting, spring return solenoid valve. Each down stroke takes one second. The up stroke is accomplished by simply de$-$energizing the solenoid for two seconds. The next down stroke then happens for one second and so on$.$ If the joist is oak then the operator signals with the OAK momentary pushbutton and the hammer is actuated five times. The same hammering$/$solenoid control timing scheme is used. Of course, nothing works unless the machine is in RUN mode. A "RUNNING" indicator lamp is attached to output $14.($It also goes out when E$-$STOP is hit.$)1/$O LIST is as follows: INPUTS: OUTPUTS: $1$:$1/0$: RUN switch. N$.$O$.($Momentary$)0$:$2/13$: Hammer Solenoid I: $1/1$: PINE switch. N$.$O$.($Momentary$)0$:$2/14$: RUN Indicator Light $1$:$1/2$: OAK switch. N$.$O$.($Momentary$)1$: $1/7$: E$-$STOP N$.$C$.($Maintained$)$