Please answer each part of this question. A, B , C, D, and E. Thank you!

83. Some students reserve the buffet room in a restaurant for graduation party. The buffet dinner normally costs $28 per person. A group discount reduces the price by $0.20 for each student who attends. The room's maximum capacity is 80 people. What size of the party would maximize the restaurant's revenue? (a) Declare the variables and state the units. 4 points (b) State the objective function to be optimized. 4 points (c) Graph the objective function versus the independent variable declared in (a). 4 points (d) Find size of the group that would maximize the restaurant's revenue? 4 points (e) State your conclusion using complete sentences. 4 points