Answer:
<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>
Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality

Where
represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

Solving for 

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.