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?

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:

Now, we need to know when:

Solving for w:

=>

w>12.85

Means w should be at least 13.

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

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