Develop a PLC program that control the temperature of an industrial oven as described below:

$$ If switch S$1$ is ON$,$ the system is ready for operation. If S$1$ is off, the control system is disabled and the heater is OFF.

$$ Thermostat F$1$ and F$2$ are used for temperature control and they are NC contacts.

o F$1$ contacts close when the temperature is below $25$C$,$ and open otherwise

o F$2$ contacts close when the temperature is below $20$C$,$ and open otherwise.

$$ If the temperature drops below $20$C$,$ the heater contactor K$1$ should be activated.

$$ If the temperature rises above $20$C but remains below $25$C$,$ contactor K$1$ should remain ON$.$

$$ When the temperature rises above $25$C$,$ the heater contactor should be turned OFF.

$$ Indicator light P$1$ lights up with the contactor K$1$ energized.

$$