It takes Kelsey 5 hours to make 12 pendants. If she works 8 hours per day for 3 days before the craft fair, can she make enough additional pendants to sell so that she can make a profit of at least $50?

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.

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step-by-step explanation: