Erin has developed a new lotion that will help children with sensitive skin. She invests $15,225 in equipment to manufacture and package her lotion. Each bottle costs $3.25 to manufacture and sells for $12. How many bottles of lotion must she make and sell before her business breaks even?
a. 998 bottles
b. 1740 bottles
c. 174 bottles
d. 1269 bottles
HELLLPPP

Question

Erin has developed a new lotion that will help children with sensitive skin. She invests $15,225 in equipment to manufacture and package her lotion. Each bottle costs $3.25 to manufacture and sells for $12. How many bottles of lotion must she make and sell before her business breaks even?
a. 998 bottles 
b. 1740 bottles 
c. 174 bottles 
d. 1269 bottles 
HELLLPPP

anonymous · Answer

@yrelhan4

jdoe0001 · Answer

hmm, what's breaking even?

jdoe0001 · Answer

sounds like cutting thing in even pieces, like bread

anonymous · Answer

breaking even means like making a profit. lol

jdoe0001 · Answer

well, does xxkerstie.bbyxx know that?   I mean how can you find what you don't even know what it's

anonymous · Answer

The answer is B. Just take the manufacture's price of $3.25 and subtract it from $12, her cost. You get $8.75. Then just divide $15,225 by $8.75 and you get 1740 bottles.

ybarrap · Answer

Initial Cost: 15,225
Cost to make per bottle: 3.25
Selling Price per bottle: 12

Let X represent the number of bottles needed to break even:

Profit: 12*X
Expense: 15,225 + 3.25X

Break Even Point = Profit - Expense = 0

12X - (15,225 + 3.25X)=0

X(12 - 3.25)= 15,225

X=$ \dfrac{15,225}{12-3.25}$, bottles needed to break even.