b. Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs. If the constant is "1" it must be entered in the box. Let Xij = amount shipped from supply node i to demand nodej. 10 20 x12 + 15 x131+ 12 X21+ 15x22 +1 18 X23 s.t. X11 + I x11 + 1 1 x12 + 1 x13 | VI 1 X22 + 1 *23/ VI 1 x21+ 1 x21 1 X11 500 400 400 200 300 1 V X120 1 X22 1 X13 Xij > 0 for all i, j c. Describe the distribution plan and show the total distribution cost. If your answer is zero enter "0". Amount 200 0 Cost $ Southern - Hamilton Southern - Butler 0 Southern - Clermont Northwest - Hamilton Northwest - Butler Northwest - Clermont Total Cost 300 200 200 0 C C 0 d. Recent residential and industrial growth in Butler County has the potential for increasing demand by as much as 100 units. Which supplier should Tri-County contract with to supply the additional capacity? If your answer is zero enter "0". Amount Cost $ Southern - Hamilton Southern - Butler Southern - Clermont C 0 0 0 x o c. Describe the distribution plan and show the total distribution cost. If your answer is zero enter "O". Cost Southern - Hamilton Southern - Butler Southern - Clermont 0 Amount 200 C O 300 200 200 0 Northwest - Hamilton Northwest - Butler Northwest - Clermont Total Cost d. Recent residential and industrial growth in Butler County has the potential for increasing demand by as much as 100 units. Which supplier should Tri-County contract with to supply the additional capacity? If your answer is zero enter "0". Amount Cost $ Southern - Hamilton 0 x Southern - Butler 0 0 Southern - Clermont Northwest - Hamilton Northwest - Butler 0 | 0 Northwest - Clermont Total Cost From the new solution we see that Tri-County should contract with Southern Gas for the additional 100 units. b. Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs. If the constant is "1" it must be entered in the box. Let Xij = amount shipped from supply node i to demand nodej. 10 20 x12 + 15 x131+ 12 X21+ 15x22 +1 18 X23 s.t. X11 + I x11 + 1 1 x12 + 1 x13 | VI 1 X22 + 1 *23/ VI 1 x21+ 1 x21 1 X11 500 400 400 200 300 1 V X120 1 X22 1 X13 Xij > 0 for all i, j c. Describe the distribution plan and show the total distribution cost. If your answer is zero enter "0". Amount 200 0 Cost $ Southern - Hamilton Southern - Butler 0 Southern - Clermont Northwest - Hamilton Northwest - Butler Northwest - Clermont Total Cost 300 200 200 0 C C 0 d. Recent residential and industrial growth in Butler County has the potential for increasing demand by as much as 100 units. Which supplier should Tri-County contract with to supply the additional capacity? If your answer is zero enter "0". Amount Cost $ Southern - Hamilton Southern - Butler Southern - Clermont C 0 0 0 x o c. Describe the distribution plan and show the total distribution cost. If your answer is zero enter "O". Cost Southern - Hamilton Southern - Butler Southern - Clermont 0 Amount 200 C O 300 200 200 0 Northwest - Hamilton Northwest - Butler Northwest - Clermont Total Cost d. Recent residential and industrial growth in Butler County has the potential for increasing demand by as much as 100 units. Which supplier should Tri-County contract with to supply the additional capacity? If your answer is zero enter "0". Amount Cost $ Southern - Hamilton 0 x Southern - Butler 0 0 Southern - Clermont Northwest - Hamilton Northwest - Butler 0 | 0 Northwest - Clermont Total Cost From the new solution we see that Tri-County should contract with Southern Gas for the additional 100 units