Solve for the missing values in part b. I've already given you the ideal plants that will fit, the answer for part a (if you are unable to see the answer clearly in part a, its 695000), and equation 13.1

Equation 13.1:

The shipping cost per unit from each plant to each distribution center is as follows: (a) Develop a mixed-integer programming model that could be used to help Martin-Beck determine which new plant or plants to open in order to satisfy anticipated demand. Solve the model and answer the following questions. What is the optimal cost? $ What is the optimal set of plants to open? (b) Using equation 13.1, find a second-best solution. What is the optimal set of plants to open? What is the increase in cost versus the best solution from part (a)? Step 1. Solve the original problem Step 2. Create two sets: O= the set of variables equal to one in Step 1 Z= the set of variables equal to zero in Step 1 Step 3. Add the following constraint to the original problem, and solve (Sum of variables in the set O ) - (sum of variables in the set Z ) ( number of variables in the set O)1 (13.1) The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas City. The estimated annual fixed cost and the annual capacity for the four proposed plants are as follows