For a convention at a luxury hotel, rooms cost $1600. per night when 90 rooms are rented. For every extra room over 90, the price is reduced by $10 per room. How manly extra rooms should the hotel rent to maximize the revenue for the hotel? A) 20 B) 25 C) 30 D) 35 ​

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.