b. Solve this model by using the computer. Compare this solution with the solution with the integer restrictions relaxed and indicate whether the rounded-down solution would have been optimal. Problem 2 (50 points) The Heartland Distribution Company is a food warehouse and distributor that has a contract with a gro- cery store chain in several Midwest and Southeast cities. The company wants to construct new ware- houses/distribution centers in some of the cities to serve the stores in those cities plus all the other stores in the other cities that do not have distribution centers. A distribution center can effectively service all stores within a 300-mile radius. The company also wants to limit its fixed annual costs to under $900,000. The company wants to build the minimum number of distribution centers possible. The following table shows the cities within 300 miles of every city and the projected fixed annual charge for a distribution center in ench city: b. Solve this model by using the computer. Compare this solution with the solution with the integer restrictions relaxed and indicate whether the rounded-down solution would have been optimal. Problem 2 (50 points) The Heartland Distribution Company is a food warehouse and distributor that has a contract with a gro- cery store chain in several Midwest and Southeast cities. The company wants to construct new ware- houses/distribution centers in some of the cities to serve the stores in those cities plus all the other stores in the other cities that do not have distribution centers. A distribution center can effectively service all stores within a 300-mile radius. The company also wants to limit its fixed annual costs to under $900,000. The company wants to build the minimum number of distribution centers possible. The following table shows the cities within 300 miles of every city and the projected fixed annual charge for a distribution center in ench city