1) A manufacturer stocks four items, each requiring a certain amount of floor space in the warehouse. A limited number of square feet of floor space is available to store the total quantity of the four products that are ordered. Develop a model based on the economic order quantity to minimize the total cost and meet the floor space limitation. Assume that the carrying charge rate is 20% and that 500 square feet of floor space are available for storage. Item 1 Item 2 Item 3 Item 4 Annual Demand 5000 1000 7500 6000 Ordering Cost $750 $500 $400 $650 Unit Cost $100 $300 $500 $200 Floor space/unit (square feet) 2 1.5 3 1 Provide the complete nonlinear programming formulation. Clearly specify decision variables, objective function and constraints.