hw06-obj-a5: problem 9\nproblem value: 1 point(s). problem score: 0%. attempts remaining: 6 attempts.\n(1…

hw06-obj-a5: problem 9\nproblem value: 1 point(s). problem score: 0%. attempts remaining: 6 attempts.\n(1 point) suppose you are ordering food for an event and each main dish will cost $18 and each dessert will cost $8. you also have to pay the caterers $550 total for their service. every attendee at the event will receive both the main dish and dessert included as a part of their $35 entrance fee.\nfind the total revenue you take in, $r(n)$, as a function of the number of attendees, $n$.\n$r(n)=$\nfind the total cost of hosting the event, $c(n)$, as a function of the number of attendees, $n$.\n$c(n)=$\nwhat will your total profit $p(n)$ be as a function of the number of attendees, $n$?\nrecall: profit = revenue - cost.\n$p(n)=$

hw06-obj-a5: problem 9\nproblem value: 1 point(s). problem score: 0%. attempts remaining: 6 attempts.\n(1 point) suppose you are ordering food for an event and each main dish will cost $18 and each dessert will cost $8. you also have to pay the caterers $550 total for their service. every attendee at the event will receive both the main dish and dessert included as a part of their $35 entrance fee.\nfind the total revenue you take in, $r(n)$, as a function of the number of attendees, $n$.\n$r(n)=$\nfind the total cost of hosting the event, $c(n)$, as a function of the number of attendees, $n$.\n$c(n)=$\nwhat will your total profit $p(n)$ be as a function of the number of attendees, $n$?\nrecall: profit = revenue - cost.\n$p(n)=$

Answer

Explanation:

Step1: Calculate revenue function

Each attendee pays $35, so the revenue from $n$ attendees is the product of the number of attendees and the entrance - fee per attendee. So $R(n)=35n$.

Step2: Calculate cost function

The cost of food for each attendee is the sum of the cost of a main - dish ($18) and a dessert ($8), and there is also a fixed service cost of $550 for the caterers. So $C(n)=(18 + 8)n+550=26n + 550$.

Step3: Calculate profit function

Using the formula $P(n)=R(n)-C(n)$, substitute $R(n)=35n$ and $C(n)=26n + 550$ into it. Then $P(n)=35n-(26n + 550)=35n-26n-550 = 9n-550$.

Answer:

$R(n)=35n$ $C(n)=26n + 550$ $P(n)=9n-550$