i have this problem

A stationary company makes two types of notebooks: a deluxe notebook with subject dividers, which sells for $4.00, and a regular notebook, which sells for $3.00. The production cost is $3.20 for each deluxe notebook, and $2.60 for each regular notebook. The company has the facilities to manufacture between 2000 and 3000 deluxe notebooks and between 3000 and 6000 regular notebooks, but not more than 7000 altogether. How many notebooks of each type should be manufactured to maximize the difference between the selling prices and the production costs.

can someone help me get the system of inequalities i need to use to find the max.

thanks.