Question

The Green Mountain Inn can rent all its
240 rooms when it charges $45 per night for
a room, but the manager wants to increase
profits. He finds, however, that for each $2
increase in the room rate, 4 fewer rooms are
rented. If the cost of cleaning an occupied
room is $5 per night, what is the maximum
profit the manager can obtain?

Answer 1

let n be the increment
then P = (45 + 2n) (240 - 4n) - 5(240-4n)
graph and maximum profit is $12,800