Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take for Josephine to make a profit?

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SJ2006 SJ2006 · Answer 1 · 2016-10-11T05:28:11+02:00

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.

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chisnau chisnau · Answer 2 · 2019-10-01T13:31:37+02:00

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: [tex]4500+200w[/tex]

Now, we need to know when:

[tex]550w >(4500+200w)[/tex]

Solving for w:

[tex]550w-200w>4500[/tex]

=>[tex]350w>4500[/tex]

w>12.85

Means w should be at least 13.

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