Use ladder logic to implement a simple high level indicator and alarm for a tank. A panel implements a simple interface showing the tank level. The panel has three lamps: green, yellow, and red. The panel also has an alarm horn and an alarm acknowledge button that turns off the alarm horn. No more than one light is on at any time:

$$ Green lamp on when $5$ inches $$ tank level $<50$ inches

$$ Yellow lamp on when $50$ inches $$ tank level $<60$ inches

$$ Red lamp on when $60$ inches $$ tank level

In addition, when the level is greater than or equal to $60$ inches, the alarm horn is turned on$,$ and remains on until the level becomes less than $60$ inches and the alarm acknowledge $($ALM$\_$ACK$\_$PB$)$ button is pressed. If the level is greater than or equal to $60$ inches, pressing the alarm acknowledge button should not silence the alarm horn, even momentarily.

There are $3$ level sensors$,$ each corresponding to one of the $$boundary$$ levels:

$$ LS$\_1$ is on when the tank level $5$ inches

$$ LS$\_2$ is on when the tank level $50$ inches

$$ LS$\_3$ is on when the tank level $60$ inches