The Green Mountain Inn can rent all its 160 rooms when it charges $38 per night...

 

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The Green Mountain Inn can rent all its 160 rooms when it charges $38 per night for a room, but the manager wants to increase profits. He finds, however, that for each $1 increase in the room rate, 4 fewer rooms are rented. If the cost of cleaning an occupied room is $8 per night, what should the manager charge per night for a room to maximize profits? The Green Mountain Inn can rent all its 160 rooms when it charges $38 per night for a room, but the manager wants to increase profits. He finds, however, that for each $1 increase in the room rate, 4 fewer rooms are rented. If the cost of cleaning an occupied room is $8 per night, what should the manager charge per night for a room to maximize profits?