Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 139: 117

More than 1200 packages.

Step 1. Assume $x$ packages are needed. The cost would be $3000+3x$ and the income would be $5.5x$. Step 2. To make a profit, we need $5.5x\gt 3000+3x$, which gives $2.5x\gt3000$ and $x\gt1200$. Thus, more than 1200 packages will be needed to make a profit.