Question

question
mrs. jones cookies store is opening for business and mrs. jones is trying to figure out when she will break even after buying $3000 worth of equipment to make her cookies. since it cost her an additional 5 cents to make each cookie, the cost for producing x cookies is $c(x)=.05x + 3000$ dollars. if mrs. jones sells each cookie for 80 cents, what is the number of cookies she needs to sell in order to break even?
do not include any commas in your answer.
provide your answer below:

Explanation:

Step1: Set up break - even equation

Revenue $R(x)=0.8x$, Cost $C(x)=0.05x + 3000$. At break - even, $R(x)=C(x)$, so $0.8x=0.05x + 3000$.

Step2: Rearrange the equation

Subtract $0.05x$ from both sides: $0.8x-0.05x=3000$, which simplifies to $0.75x = 3000$.

Step3: Solve for $x$

Divide both sides by $0.75$: $x=\frac{3000}{0.75}=4000$.

Answer:

4000