Based on the information available in the question, we can answer the following:-
Requirement 1:-
The contribution margin per ticket is calculated as :-
Particulars | Amount |
Selling price per ticket | 15.50 |
Donation per ticket | 3.00 |
Parking food and merchandise | 20.00 |
Revenue per ticket | 38.50 |
Variable cost per ticket:- | |
Performance fee | 5.50 |
Parking, food and merchandise op exp($20*14%) | 2.80 |
Pavilion fees | 7.00 |
Total variable costs | 15.30 |
Contribution margin per ticket(Revenue - Variable costs) | 23.20 |
Requirement 2:-
The estimated total fixed costs for the benefit concert are:-
Particulars | Amount |
Parking, food and merchandise | 24,000 |
Pavilion operating expenses | 80,000 |
Total fixed expenses | 104,000 |
Requirement 3:-
If 8,000 tickets are sold, profit from the benefit concert is:-
Contribution margin per ticket * 8,000 tickets = $23.20 * 8,000 tickets = $185,600
Less :- Total fixed expense = ($104,000)
Profit from Benefit concert = $81,600
Requirement 4:-
The number of tickets to be sold for concert profit to be $100,000
No.of tickets to be sold = (Fixed costs + Target Profit)/Contribution Margin per unit
=($104,000 +100,000)/$23.20
=$204,000/$23.20
=8,793.10
=8,793 tickets should be sold in order to attain the target profit of $100,000
Kindly post the remaining questions separately so that we can answer them as well. All the best and please let me know if you have any questions via comments :)
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