SOLUTION: A student knits scarfs and sells them at craft shows. The yarn to make each scarf costs $4. The scarves sell for $15 each. If the booths at the craft show cost $160 and they must b

Question 1105796: A student knits scarfs and sells them at craft shows. The yarn to make each scarf costs $4. The scarves sell for $15 each. If the booths at the craft show cost $160 and they must buy a pair of new knitting needles that cost $16, how many scarves must the student sell to break even?
What is the break-even point?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Let the number of scarves the student would have to knit and sell be x.
The student has two fixed costs, the booth and the needles for a total of 160+16= 176
And one variable cost, the yarn = 4x (four times the number of scarves)
------------------------------------------------
(15-4)x = 176
11x = 176
x = 16 this is the number of scarves the student has to knit and sell in order to break even.
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