Dec 16 CBE

Hare Events Question

Q3, about the number of entries.
The revenue apportion should be 110/530 and 420/530.
But examiner has done 110/152 and 42/152
No option matches if the first method is used. Can you clarify this

Questiom
Based on the prices it charges for entry to similar events in other locations, Hare Events has decided on an entry fee of $55 for the full marathon and $30 for the half marathon. It expects that the maximum entries will be 20,000 for the full marathon and 14,000 for the half marathon
Variable costs:
Full marathon Half marathon
Race packs 15·80 10·80
Water stations 2·40 1·20
Fixed costs:
Council fees 300,000
Risk assessment and insurance 50,000
Marketing 30,000
Photography 5,000

QUESTION
Hare Events wishes to achieve a minimum total profit of $500,000 from the running festival.
What are the number of entries Hare Events will have to sell for each race in order to achieve this level of profit, assuming a constant sales mix based on the expected race entry numbers applies?
A Full marathon: 17,915 entries and half marathon: 12,540 entries
B Full marathon: 14,562 entries and half marathon: 18,688 entries
C Full marathon: 20,000 entries and half marathon: 8,278 entries
D Full marathon: 9,500 entries and half marathon: 6,650 entries