Formulate a Linear Programming Problem for the following:

Glass Discount Store is opening a new department with a storage area of 10,000 sq.ft. Management considers four products for display. Prod. A costs $55, sells for $130, and needs 24 sq.ft./unit for storage Prod. B costs $100, sells for $120, and needs 20 sq.ft./unit for storage Prod. C costs $200, sells for $295, and needs 36 sq.ft./unit for storage Prod. D costs $300, sells for $399, and needs 50 sq.ft./unit for storage It is required that at least 10 units of each product are on display. The company's goal is profit maximization. How many units of each product should be on display if the company has $600,000 available for purchasing the products?