Math
posted by Irina .
The Hotel Regal has 600 rooms. Currently the hotel is filled . The daily rental is $ 250 per room.
For every $ 4 increase in rent the demand for rooms decreases by 4 rooms.
Let x = the number of $ 4 increases that can be made.
What should x be so as to maximize the revenue of the hotel ?
What is the rent per room when the revenue is maximized? $
What is the maximum revenue? $

Math 
Steve
r(x) = (6004x)(250+4x)
Now plug and chug.
Respond to this Question
Similar Questions

math
a hotel chain charges $120 per room and rents an avg of 40 rooms per night at this rate. For each $10 reduction in price, they rent an avg of 10 more rooms. Find the rate they should be charging to maximize revenue. Help please! Thanks! 
math
a hotel chain charges $120 per room and rents an avg of 40 rooms per night at this rate. For each $10 reduction in price, they rent an avg of 10 more rooms. Find the rate they should be charging to maximize revenue. Help please! Thanks! 
math
1. A hotel has 120 rooms. If the number of double room is 8 more than three times the number of single rooms, how many single rooms does the hotel have? 
PreCalculus
The Hotel Bellville has 400 rooms. Currently the hotel is filled . The daily rental is $ 250 per room. For every $ 14 increase in rent the demand for rooms decreases by 5 rooms. Let x = the number of $ 14 increases that can be made. … 
PreCalculus
The Hotel Ventor has 400 rooms. Currently the hotel is filled. The daily rental is $ 600 per room. For every $6 increase in rent the demand for rooms decreases by 7 rooms. Let x = the number of $ 6 increases that can be made. What … 
math
Help please >.< The Hotel Lakewell has 450 rooms. Currently the hotel is filled . The daily rental is $ 750 per room. For every $ 4 increase in rent the demand for rooms decreases by 7 rooms. Let x = the number of $ 4 increases … 
math
Help pleaseeee The Hotel Regal has 500 rooms. Currently the hotel is filled. The daily rental is $ 400 per room. For every $4 increase in rent the demand for rooms decreases by 8 rooms. Let x be the number of rooms that are being rented … 
math
miss Thao owns a small hotel with 30 identical rooms. she finds that if she charges a price of 12 dollars ( or less) per room per day, all the rooms are rented. for every 1 dollar in price, 2 rooms remain vacant. each day, maintenance … 
precalculus
The Hotel Florence has 550 rooms. Currently the hotel is filled . The daily rental is $ 700 per room. For every $ 14 increase in rent the demand for rooms decreases by 7 rooms. Let x = the number of $ 14 increases that can be made. … 
precalculus
The Hotel Thomasina has 500 rooms. Currently the hotel is filled . The daily rental is $ 1000 per room. For every $ 4 increase in rent the demand for rooms decreases by 8 rooms. Let x = the number of $ 4 increases that can be made. …