You are the catering manager for an upscale hotel. Last Saturday your staff catered a wedding reception in the main

ballroom, during which $144$ chicken dinners, $264$ steak dinners, and $72$ fish dinners were served. All dinners are the same

price. The hotel charges "per person" for catered events.

$($a$)$ What percent of the total meals served was each type of dinner?

$($b$)$ If $$26,400$ was charged for all the meals, how much revenue $($in $ $)$ did each type produce?

chicken $

steak $

fish $,$$

$($c$)$ If a $20\%$ price increase goes into effect next month, what will be the new price $($in $ $)$ per meal?

$

$($d$)$ When photographers, florists, DJs$,$ bands, and other outside vendors are booked through your office for events at the

hotel, a $6\frac{1}{2}\%$ "finder's fee" is charged. Last year, $$195,000$ of such services were booked. How much $($in $ $)$ did the

hotel make on this service?

$

$($e$)$ If your boss is expecting $$15,600$ in "finder's fee" revenue next year, what amount $($in $ $)$ of these services must be

booked?

$