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A manufacturing company needs to plan its production for the next six months, April, May, June, July, August, and September. Table 1 below shows demand for each month, setup cost if production occurs, production cost per unit if production occurs, and holding (inventory) cost per unit for each month. Stockouts are not allowed. The company needs to decide during which month(s) production occurs and how many products are produced. The company wants to minimize the total cost (setup cost + production cost + holding cost) for the next six month. Please formulate an integer programming model and use GAMS to find the minimum total cost. Table 1. Demand and production data. Month April May June July August September Demand (units) 10 40 20 5 5 15 Setup Cost (S) 35 50 38 44 50 Production Cost (S/unit) 1 3 3 1 1 Holding Cost (S/unit 2 1 40 w|wl Nu col 1 1 2 4