Reiko started a business selling home medical supplies. She spent $5200 to obtain her merchandise, and it costs her $550 per week for general expenses. She earns $900 per week in sales. What is the minimum number of weeks it will take for Reiko to make a profit?

it will take around 15 weeks to for Reiko to make a profit

Explanation:

Given:

Amount spent to obtain merchandise = $5,200

Cost of general expenses = $550

Earnings from sales per week = $900

Now,

Let 'x' be the number of weeks taken to make profit

thus,

Total cost involved = $5,200 + ($550 * x)

Total profit from sales = $900 * x

for making profit

$900 * x ≥ $5,200 + ($550 * x)

or

350x ≥ 5,200

or

x ≥ 14.85 weeks

thus,

it will take around 15 weeks to for Reiko to make a profit