Answer
The number of package is greater than 1200.
Work Step by Step
Consider the given condition. It forms the equation as,
$3000+3x<5.5x$
Solve the above the equation.
$\begin{align}
& 3000+3x<5.5x \\
& 5.5x-3x>3000 \\
& x>\frac{3000}{2.5} \\
& x>1200
\end{align}$
This shows that the number of package that must be produced and sold each week for the company to generate a profit is greater than 1200.
Thus, the number of package produced and sold is greater than 1200.