A company decided to develop its activities by creating two new stores. Three places are considered for this aim, The following figure shows the possible transportation relations between mentioned places and four new customers. Also this figure contains the transportation cost of one unit between the places and the customers. The capacity of each store (if it is built), demand of each customer initial investment cost for constructing the store at each place and its inventory cost is summarized in the following table. Formulate an integer linear programming problem to choose the best places for creating these stores and minimize the total investment, transportation and inventory cost. | D1 Placra A2 (Sper i 35 1 667000 450000 510000 560 430 2 60 3 45 240 D3 A1 D2 Chitomine Dend 2 3 1 4 3 150 120 190 220 2 D4 A3 A- 2 EE % A company decided to develop its activities by creating two new stores. Three places are considered for this aim, The following figure shows the possible transportation relations between mentioned places and four new customers. Also this figure contains the transportation cost of one unit between the places and the customers. The capacity of each store (if it is built), demand of each customer initial investment cost for constructing the store at each place and its inventory cost is summarized in the following table. Formulate an integer linear programming problem to choose the best places for creating these stores and minimize the total investment, transportation and inventory cost. | D1 Placra A2 (Sper i 35 1 667000 450000 510000 560 430 2 60 3 45 240 D3 A1 D2 Chitomine Dend 2 3 1 4 3 150 120 190 220 2 D4 A3 A- 2 EE %