Answer the question please

Overview: The Company you are working for has decided to put on a banquet to raise money for a charity and must decide between two catering services to supply the food and servers. You have been assigned to the Banquet Planning Committee. You should work in a group with up to 4 members, each bringing their own individual strengths to the group. You will submit your work, neatly hand-written and clearly labeled. You must use algebra to solve the problems (not graphing calculator features). To best maintain accuracy. round only your nal answers. Simplify completely. Research Provided: The Company's research department has provided the following estimates: 0 A demand of 275 banquet attendees can be expected at a dinner plate price of S?8.tlt] each. A demand of 380 banquet attendees can be expected at a dinner plate price 0639.00 each. 0 Catering Service A has a xed cost of $2.000 and a marginal cost of $27 for each plate. 0 Catering Service 13 has a xed cost of$3,l00 and a marginal cost ofSl9 for each plate. 0 Costs for both caterers include the food, drinks, plates, utensils, tablecloths. glasses. crew. and cleanup. 0 Dinner plates will only be sold as an entire unit. To justify company resources and to ensure the event will benet the charity, the CEO insists the tickets be sold for no less than $25. All prots will go toward a charity of the committee's choosing. 0 Additional spontaneous donation to the charity will be accepted the night of the banquet. Studies estimate that 7% witl give 35, 21% will give 520. "5% will give $3 1. 2% will give $100, and 1% will give 5420. Analysis:- I. Find the Prot mctiort. Hz). for each of the two possible catering services in terms of the number of banquet attendees x. 2. If it is projected that there Will be ")0 tickets sold at a dinner price of S [20. which catering service should the committee recommend in order to earn the most prot for thecharity? 3. Decide which catering service your company should choose if the projections yield 270 attendees. Include the ticket price at this demand. 4.Find the average cost function for Catering Service A. Evaluate the average cost per attendee if 50 tickets are purchased. Evaluate the average cost per attendee if 420 tickets are purchased. 5. On average. how much can you expect to receive in spontaneous donations for each banquet attendee? (Determine the per person expected value (weighted average) of donations.) 6. Overall recommendations: Which catering service does your committee recommend in order to obtain the most prot for the charity? How many people should attend the banquet to earn that prot and what prot can be expected from the banquet ticket sales? What price would you reconurtend for each dituter plate (ticket)? What dollar amount is expected from spontaneous donations? What will be the expected total amount raised for the charity (including the dinner ticket prots and spontaneous donations)