Doubletree Hotel is a $750$ Room Full$-$Service Hotel. Its Room Rack Rate is $$250.$ Its Revenue Management Team comprises.

$$ Jared Jones is the group sales manager at the $750-$room full$-$service Doubletree Hotel.

$$ Marcia Dames is the Front office manager.

$$ Deon Beckford is the GM

For the Saturday night that is just one week away, they have $250$ unsold rooms remaining.

a$.$ Jared Jones would like to accept an available group contract for the entire $250$ rooms at $$225$We$$ll sell out,$$ he proclaims, $$and have a great RevPAR.$$

b$.$ Marcia Dames would like to reduce the room rates to $$200\mathrm{.}00$ per night, which is a $$30\mathrm{.}00$ reduction from the hotel$$s normal rate of $$250\mathrm{.}00.$

$$How many rooms do you forecast we can sell at that rate?$$ asks Deon.

$$I believe we can sell about $200$ of them,$$ is Marcia$$s reply.

c$.$ Controllable Cost per room $$50$