Original question is missing the details so I'm attaching the details after searching from internet. (check attached picture)
Let number of competitor = x
Cost per competitor for Straw Bridge contest = $5.50
Then cost for x competitors = 5.50x
Fixed extra expense = 34.60
So total cost for Straw Bridge contest = 5.50x+34.60
Cost per competitor for Card Tower contest = $4.25
Then cost for x competitors = 4.25x
Fixed extra expense = 64.60
So total cost for Card Tower contest = 4.25x+64.60
Total cost for both contests = (5.50x+34.60)+(4.25x+64.60) = 9.75x+99.2
FEA club will charge $10 for entrance per competitor
So total revenue for x competitors = 10x
Now profit for x competitors is give by
Profit = Revenue - cost
Profit = 10x- (9.75x+99.2)
Profit = 0.25x-99.2
Now we have to find profit for 32 competitors so plug x=32 in profit equation
Profit = 0.25x-99.2 = 0.25*32-99.2 = 8 -99.2 =-91.2
Which is negative.
So that means there is no profit. Infact they are still in loss.