$(4-20)$ A theater seats $250-$person. The inside design conditions are $25C$ and $50\%RH,$

while the outside conditions are $40C$ and $40\%RH.$ The heat gain from walls,

ceiling, floor, windows, and doors is $28kW.$ Calculate the followings:

$($a$)$ Total heat gain due to occupants for matinee show, assuming $($CLF$)$