\fAn air conditioning controller needs a gain value 9 programmed into it. Valid values for 9 range from 0.1 to 5. The gain gcontrols how hard the air conditioner works ifgis higher, the system works harder. If g is too high it works too hard, and the temperature goes up and down instead of sitting at the desired temperature. The time for the air conditioning to reach the desired temperature and remain there is called the settling time. The settling time depends on the gain, and for a certain air conditioner and building is given (in minutes) by the formula 15(9) 2 g3 592 + 59 + 10 what value for gshould be used to give the lowest settling time, and what is the lowest possible settling time