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Canvas X Demand Do D Di se Parta. How should the capacity of each manufacturing plant be allocated to its markets to minimize the total production and transportation cost The parameters are summarized below I set of plants, 11.2 set of regional markets. -1.23 Dy demand of regional market Mi capacity of planti ci variable production & transport cost from plantito regional market al. Define the decision variables. How many decision variables in total? (4 points) 12. What is the total cost define the objective function we are trying to minimize First, write the general formulation using the parameters defined above and then substitute the numbers when applicable (3 points) a3. Each plant has a capacity limit that can't be exceeded. Write the supply constraint for Kentucky (2 points) The demand for each regional market has to be satisthed, Write the demand constraint for the Middle region. (2 points) - You only need to write one constraint for each type 4. Suppose the total supply is larger than the total demand, which plant is likely to have unused capacity? Why? (4 points) Part b. She Computers is anticipating a growth in demand so that the existing capacity is not sufficient to meet the increased demand. Blue Computers is considering adding more capacity to the existing plants. Capacity can be added in either K or K2 units to both existing plants. Adding Ki incurs a one-time cost oft and adding Ke incurs a one-time cost of ty regardless of the site location b. What decision variables do you need to add to Parta? How many new decision variables? (4 points) b2. What do you need to add to the objective function? (2 points) Canvas X Demand Do D Di se Parta. How should the capacity of each manufacturing plant be allocated to its markets to minimize the total production and transportation cost The parameters are summarized below I set of plants, 11.2 set of regional markets. -1.23 Dy demand of regional market Mi capacity of planti ci variable production & transport cost from plantito regional market al. Define the decision variables. How many decision variables in total? (4 points) 12. What is the total cost define the objective function we are trying to minimize First, write the general formulation using the parameters defined above and then substitute the numbers when applicable (3 points) a3. Each plant has a capacity limit that can't be exceeded. Write the supply constraint for Kentucky (2 points) The demand for each regional market has to be satisthed, Write the demand constraint for the Middle region. (2 points) - You only need to write one constraint for each type 4. Suppose the total supply is larger than the total demand, which plant is likely to have unused capacity? Why? (4 points) Part b. She Computers is anticipating a growth in demand so that the existing capacity is not sufficient to meet the increased demand. Blue Computers is considering adding more capacity to the existing plants. Capacity can be added in either K or K2 units to both existing plants. Adding Ki incurs a one-time cost oft and adding Ke incurs a one-time cost of ty regardless of the site location b. What decision variables do you need to add to Parta? How many new decision variables? (4 points) b2. What do you need to add to the objective function? (2 points)