A store sells two types of products, type A and type B. The store owner estimates sales to be at least 3000 product every month.

The store owner pays $12 and $26 for each unit of products A and B respectively for his purchased inventory,

and he does not plan to invest more than $50,000 in inventory of these products.

One unit of product A yields a profit of $2, while a unit of product type B yields a profit of $3. The store owner wants to determine how many units of each type of products should be stocked in order to maximize his monthly total profit.

Formulate a Linear Programming Model for this problem