Deb Cook is given the choice of two positions, one paying $\$ 3,200$ per month and the other paying $\$ 2,100$ per month plus a $5 \%$ commission on all sales made during the month. What amount must she sell in a month for the second position to be more profitable? The second position is more profitable if Deb sells more than $\$ \square$ per month.

Step 1 ：Deb Cook is given the choice of two positions, one paying $3,200 per month and the other paying $2,100 per month plus a 5% commission on all sales made during the month. We need to find out what amount she must sell in a month for the second position to be more profitable.

Step 2 ：We set up an inequality where the salary from the second job (base salary plus commission) is greater than the salary from the first job. The total salary from the second job is $2100 plus 5% of the sales, and the salary from the first job is a constant $3200.

Step 3 ：We need to solve the inequality \(2100 + 0.05 \times sales > 3200\) for the sales amount.

Step 4 ：Solving the inequality, we find that the sales amount for which the second job is more profitable is $22000. This means that Deb needs to sell more than $22000 in a month for the second position to be more profitable.

Step 5 ：Final Answer: The second position is more profitable if Deb sells more than \(\boxed{22000}\) per month.