Answer: ![850w>7500+300w](https://tex.z-dn.net/?f=850w%3E7500%2B300w)
The minimum number of weeks it will take for Eduardo to make a profit =14
Step-by-step explanation:
Let w represents the number of weeks.
Given : Eduardo started a business selling sporting goods.
He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses.
i.e. Expenditure for w weeks= ![7500+300w](https://tex.z-dn.net/?f=7500%2B300w)
He earns $850 per week in sales.
i.e. Earning = ![850w](https://tex.z-dn.net/?f=850w)
For profit , Earnings > Expenditure
i.e. ![850w>7500+300w](https://tex.z-dn.net/?f=850w%3E7500%2B300w)
Subtract 300 from both sides .
![550w>7500](https://tex.z-dn.net/?f=550w%3E7500)
Divide both sides by 550, we get
![w>13.6363636364\approx14](https://tex.z-dn.net/?f=w%3E13.6363636364%5Capprox14)
Hence, the minimum number of weeks it will take for Eduardo to make a profit=14