Tickets to a church supper cost $5 for adults and $2 for children, it costs the church $3.25 to prepare each adult meal and $1.50 to prepare each child’s meal. Fixed costs are $275.
a. Write a revenue function R(a, c) if a adult tickets and c child’s tickets are sold.
b. Evaluate R(SOy64) and interpret the answer.
c. Write a cost function C(a, c) for the cost of serving a adult meals and c child’s meals.
d. Evaluate C(80,64) and interpret the answer.
e. Write a profit function P(u, c) for selling a adult tickets and c child’s tickets.
f. Evaluate P(80,64) and interpret your answer.
g. If the church social hall can seat up to 300 for a dinner, how many adults and how many children should be served for the church to break even on the meal?
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