How to get the linear programming?

Problem 4. Inventory Models Shirley Company requires 40,000 shells for its P500-signature product, "pearly Shirl". The shells, which are purchased from outside suppliers, will be used evenly throughout the year. The cost to place one order is P20, while the cost to carry the shells in inventory for one year is PO.40 Required: a. The optimal order (economic order quantity) b. The number of times the company should place orders within a year. c. The average inventory. Problem 5. Economic Order Quantity Based on EOQ analysis, the optimal order quantity is 3,000 units. Annual inventory carrying cost equal 30% of the average inventory level. The company pays P 5 per unit to buy the product, selling for P 12. The company pays P112.50 to place an order. The monthly demand for the product is 5,000 units. Required: a. Annual inventory carrying cost b. Annual inventory ordering cost c. Total inventory costs Problem 6. Linear Programming Following are the data about Maximin Company's two products that it produces through its production facilities: Product A Product B Contribution Margin Per Unit P 3 P 4 Materials Used: Material X 2 units 5 units Material Y 4 meters 2 meters Available Quantity of Materials: Material X 120 pieces Material Y 80 meters Required: a. Objective function - involving maximization of the company's contribution margin. b. Constraint function for Material X c. Constraint function for Material Y d. The optimal mix of products that must be produces by Maximin Company