Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for ge

Question

3 years ago

15

neral expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take for Josephine to make a profit?

2 answers:

lisov135 [29] · Answer 1 · 2022-09-01T06:41:45+03:00

7 0

Net gain/loss for a week = earn money - spent money, 550-200 = 350

By that amount of profit, it will take, 4500/350 =12.8

So, minimum 13 weeks, it will take for Jose to make a profit.

xz_007 [3.2K] · Answer 2 · 2022-09-01T08:34:13+03:00

Answer:

It will take a minimum of 13 weeks before Josephine makes a profit.

Step-by-step explanation:

Let it takes w weeks for Josephine to make profit.

So, her weekly sales over 550 is shown as 550w.

And we can represent her up front and weekly costs over w weeks as: $4500+200w$

Now, we need to know when:

$550w >(4500+200w)$

Solving for w:

$550w-200w>4500$

=> $350w>4500$

w>12.85

Means w should be at least 13.

Hence, It will take a minimum of 13 weeks before Josephine makes a profit.