How much profit will the fea club earn from 32 competitors if they use the contest you recommended?

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.

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