The commitee is planning this years prom.
500 on music
800 on the decorations
900 on the ballroom
25 per person for catering
The ballroom can only hold 300 students. 35 per ticket with food. 20 per ticket without food. Must set aside 10 free tickets.
a) create a function for the ticket cost without food.
b) make a function for the ticket cost with food.
c) for parts A and B find the number of tickets that must be sold in order to break even
I don't understand the wording of these questions. PLEASE HELP SOMEONE
Sure! Let's break down each question and go through the steps to solve them.
a) Create a function for the ticket cost without food.
To create a function for the ticket cost without food, you need to determine the total cost of the event without the catering expenses, and then divide it by the number of tickets sold. Let's go through the steps:
1. Calculate the total cost of the event without catering expenses:
Total cost = music cost + decorations cost + ballroom cost
2. Determine the number of tickets sold without food:
Number of tickets sold without food = Total cost / ticket price without food
3. Create the function:
Function name: ticketCostWithoutFood
Input: None
Output: Number of tickets sold without food
b) Make a function for the ticket cost with food.
Similar to part A, you need to calculate the total cost of the event with catering expenses. Here are the steps:
1. Calculate the total cost of the event with catering expenses:
Total cost = music cost + decorations cost + ballroom cost + (catering cost per person * number of tickets sold with food)
2. Determine the number of tickets sold with food:
Number of tickets sold with food = (Total cost - (10 * catering cost per person)) / ticket price with food
3. Create the function:
Function name: ticketCostWithFood
Input: None
Output: Number of tickets sold with food
c) Find the number of tickets that must be sold in order to break even:
To break even, the total revenue from ticket sales must cover the total cost of the event. Here's how you can find the break-even point:
1. Calculate the total cost of the event:
Total cost = music cost + decorations cost + ballroom cost + (catering cost per person * number of tickets sold with food)
2. Calculate the revenue from ticket sales (without free prom tickets):
Revenue from ticket sales = (ticket price with food * number of tickets sold with food) + (ticket price without food * number of tickets sold without food)
3. Determine the number of tickets that must be sold to break even:
Number of tickets to break even = Total cost / (Revenue from ticket sales - (ticket price without food * 10))
I hope that clarifies the questions and helps you understand how to approach them!