SOLUTION: The expenses E and income I for making and selling T-shirts with a school logo are given by the equation E=525+4.50n and I=12n, where n is the number of T-shirts. a.How many T-s

Question 1083864: The expenses E and income I for making and selling T-shirts with a school logo are given by the equation E=525+4.50n and I=12n, where n is the number of T-shirts.
a.How many T-shirts must be made and sold in order to break even (where your expenses and your income are the same)? I need help on what n is.
b.Suppose only 50 shirts are sold. Is there a profit or a loss?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
a.If I=12n, then the shirts are sold at 12, and cost 4.50 to make. So there's a net profit of 7.50/shirt. Then, the break-even point is:
12n=525+4.50n
7.5n=525
n=70
It takes 70 shirts sold to break even.
b.50<70, so there is a loss by selling only 50 shirts. ☺☺☺☺
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