Question: thousands of dollars) are as follows. (a) Develop a network representation of this problem. (Submit a file with a maximum size of 1MB.) No file

thousands of dollars) are as follows. (a) Develop

thousands of dollars) are as follows. (a) Develop a network representation of this problem. (Submit a file with a maximum size of 1MB.) No file chosen (b) Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs. Let x11= amount shipped from Southern Gas to Hamilton x12= amount shipped from Southern Gas to Butler x13= amount shipped from Southern Gas to Clermont x21= amount 5 hipped from Northwest Gas to Hamilton x22= amount shipped from Northwest Gas to Butler x23= amount shipped from Northwest Gas to Clermont Min10x11+20x12+15x13+x21+15xx22+x23 s.t. x11,x12,x13,x21,x22,x230 c) Describe the distribution plan and show the total distribution cost. d) Recent residential and industrial growth in Butler County has the potential for increasing demand by 100 units. (i) Create an updated distribution plan assuming Southern Gas becomes the preferred supplier. Distribution Plan with Southern Gas (ii) Create an updated distribution plan assuming Northwest Gas becomes the preferred supplier. Distribution Plan with Northwest Gas (iii) Which supplier should Tri-County contract with to supply the additional capacity? The Tri-County contract should go to the supplier with the

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