For type A: No of sweaters=360.Cost per sweater is 200.
For type B: No of sweaters=100.Cost per sweater is 120.
Maximum cost =72000.
Let $x$ be number of sweaters of type A and $y$ be the number of sweaters of type B.
These sweaters are brought to fulfill the maximum requirement of $x,y$ and maximize the profit.
The mathematic formulation of the above problem is as follows :
Subject to $360x+120y\leq 72,000$
$\Rightarrow 3x+y\leq 600$
$y-x \leq 100$ and $x\geq 0$ and $y \geq 0$