A hotel needs to determine the best rates and room sizes to maximize revenues. Currently the hotel has the following rooms, rates, price elasticity, and historical average number of rooms sold:

Room type	Current Rate	Historical Average Daily Sold	Elasticity	Total Room Capacity
Standard	$85.00	250	-1.5	450
Gold	$98.00	100	-2
Platinum	$139.00	50	-1
Suite	$180.00	20	-2.5

The price elasticity means for example for every 1% increase in standard room rate, there is a 1.5% decrease in sales of these rooms and by 1% decrease in rate, number of rooms sold will increase by 1.5%.

The following formula calculates the projected number of rooms of a given type sold:

H+( E )( H )( NP - CP )/CP

Where:

H: Historical average daily sold

E: Elasticity

NP: New Price

CP: Current price

Owners want to keep the price of standard room (S) between $70 and 90$, gold room (G) between $90 and $110, platinum room (P) between $120 and $149 and Suite between $150 and $200.

Build a model to maximize the hotel's total revenue.

What is the new price for suite?