You manage the production of two products, Product A and Product B.
The profit from product A is ${\rm $}0.50$ per unit and the profit from Product B is ${\rm $}1.00$ per unit.
You want to maximize the total profit P.

$P=0.5A+B$

However, the following constraints apply:
The total number of units produced (for both products combined) cannot exceed 6 due to material limitations.

$A+B \leq 6$

The difference between the number of units of Product A and Product B should npt exceed 2 due to market demand.

$A-B \leq 2$

$B-A \leq 2$

You cannot produce a negative number of units for either product.

$A,B \geq 0$

$${\rm Maximize} \ P=0.5A+B$$ $${\rm Subject to} \ A+B \leq 6, A-B \leq 2, B-A \leq 2, A,B \geq 0$$

The maximum profit is $5.00.