I need help on this problem...my brain is fried from preparing for finals...If someone could help me out that would be great...Thanks!! 
The data in the table below, from a survey of resort hotels with comparable rates on Hilton Head Island, show that room occupancy during the off-season (Nov-Feb) is related to the price charged for a basic room.
Price Per Day - Occupancy Rate,%
$69 - 53
$89 - 47
$95 - 46
$99 - 45
$109 - 40
$129 - 32
The goal is to use these data to help answer the following questions.
A. What Price per day will maximize the daily off-season revenue for a typical hotel in the is group if it has 200 rooms available?
B.Suppose that for this typical hotel the daily cost is $4592 plus $30 per occupied room. What price will maximize the profit for this hotel in the off season? What is the maximum profit? What are the corresponding cost and revenue for this price?
The price per day that will maximize the off-season profit for this typical hotel applies to this group of hotels. To find the room price per day that will maximize the daily revenue and the room price per day that will maximize the profit for this hotel (and thus the group of hotels) in the off-season, complete the following.
1. Multiply each occupancy rate by 200 to get the hypothetical room occupancy. This column relates occupancy as a function of price.
2. Use your calculator to create an equation that models the occupancy, Y, as a function of the price per day, X. What is the model that best fits the occupancy as a function of the price per day, X? What is the function for the occupancy? How did you determine which was the best fit model.
3. Create a function for the Revenue as a function of the daily price per day, x. Recall that the Revenue is price times the number of rooms rented.
4. Use maximization techniques to find the price that these hotels should charge to maximize daily revenue. What is the maximum revenue?
5. Create a function for the cost as a function of the daily price per day, x.
6. Form the profit function of daily price, x.
7. Use maximization techniques to find the price that will maximize the profit. What is the maximum profit? For this set price what is the corresponding Revenue and Cost?
The data in the table below, from a survey of resort hotels with comparable rates on Hilton Head Island, show that room occupancy during the off-season (Nov-Feb) is related to the price charged for a basic room.
Price Per Day - Occupancy Rate,%
$69 - 53
$89 - 47
$95 - 46
$99 - 45
$109 - 40
$129 - 32
The goal is to use these data to help answer the following questions.
A. What Price per day will maximize the daily off-season revenue for a typical hotel in the is group if it has 200 rooms available?
B.Suppose that for this typical hotel the daily cost is $4592 plus $30 per occupied room. What price will maximize the profit for this hotel in the off season? What is the maximum profit? What are the corresponding cost and revenue for this price?
The price per day that will maximize the off-season profit for this typical hotel applies to this group of hotels. To find the room price per day that will maximize the daily revenue and the room price per day that will maximize the profit for this hotel (and thus the group of hotels) in the off-season, complete the following.
1. Multiply each occupancy rate by 200 to get the hypothetical room occupancy. This column relates occupancy as a function of price.
2. Use your calculator to create an equation that models the occupancy, Y, as a function of the price per day, X. What is the model that best fits the occupancy as a function of the price per day, X? What is the function for the occupancy? How did you determine which was the best fit model.
3. Create a function for the Revenue as a function of the daily price per day, x. Recall that the Revenue is price times the number of rooms rented.
4. Use maximization techniques to find the price that these hotels should charge to maximize daily revenue. What is the maximum revenue?
5. Create a function for the cost as a function of the daily price per day, x.
6. Form the profit function of daily price, x.
7. Use maximization techniques to find the price that will maximize the profit. What is the maximum profit? For this set price what is the corresponding Revenue and Cost?
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