SOLUTION: Several students decide to start a T-shirt company. After initial expenses of $280, they purchase each T-shirt wholesale for $3.99. They sell each T-shirt for $10.99. How many must

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Several students decide to start a T-shirt company. After initial expenses of $280, they purchase each T-shirt wholesale for $3.99. They sell each T-shirt for $10.99. How many must      Log On


   

Question 543015: Several students decide to start a T-shirt company. After initial expenses of $280, they purchase each T-shirt wholesale for $3.99. They sell each T-shirt for $10.99. How many must they sell to break even.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation for P = profit
and find P=0, the break even point
Let t = number of T-shirts sold
+P+=+1099t+-+%28+28000+%2B+399t+%29+ ( in cents )
Set +P=0+
+0+=+1099t+-+%28+28000+%2B+399t+%29+
+1099t+=+28000+%2B+399t+
+1099t+-+399t+=+28000+
+700t+=+28000+
+t+=+40+
They must sell 40 T-shirts to break even