Answer:
From a search on google, the first part of this problem is:
Kelsey has to pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants.
We know that:
I takes Kelsey 5 hours to make 12 pendants.
She works 8 hours per day, for 3 days.
then she works a total of 24 hours.
We want to find the number of pendants that she can make in that time, first, how many groups of 5 hours there are in 24 hours?
(24h/5h)
And in each one of those groups, she can make 12 pendants, this means that the total number of pendants that she will make is:
(24h/5h)*12 = 57.6 pendants.
And we should round it down to 57 pendants because 0.6 of a pendant does not make sense.
Now let's calculate the profit.
Remember that the profit is the difference between the revenue and the costs.
The costs will be:
C(x) = $200 + $7.80*x
Where x is the number of pendants that she made.
In these 3 days, she made 57 pendants, plus 10 that she did before, she has 67 pendants, then x = 67.
C(67) = $200 + $7.80*67 = $722.60
And the revenue will be:
R(x) = $13.50*x
for the 67 pendants:
R(67) = $13.50*67 = $904.50
Then the profit will be:
P = R - C = $904.50 - $722.60 = $181.90
So yes, her profit will be a lot more than the minimal of $50 asked in the question.
