In order to maintain personnel health better over the course of the vaccination efforts, some vaccination clinics reached out and expressed their need of additional face masks. This additional data is presented in the table below. You are allowed to choose, at most, a total of 4 manufacturing facilities to satisfy the demand for the vaccine shots/masks. No. No. Demand 1 1 350 2 2 Vaccination Clinics Location Virginia Beach Alexandria Blacksburg Charlottesville Lake Ridge 0 3 3 700 4 4 Potential Manufacturing Facilities Location Mask Production Capacity Norfolk 0 Suffolk 600 Richmond 200 Hampton 400 Lynchburg 300 Manassas 0 Arlington 0 Newsport News 800 Dale City 450 Reston 900 850 5 5 400 6 7 8 9 10 a. (5 pts.) Model the problem. b. (10 pts.) Provide a transportation plan which minimizes the total distance travelled and clearly contains the choice of manufacturing facilities, the number of vaccine shots/face masks to be transported, and the source/destination for them. c. (5 pts.) Provide a figure which represents your proposed solution visually. In order to maintain personnel health better over the course of the vaccination efforts, some vaccination clinics reached out and expressed their need of additional face masks. This additional data is presented in the table below. You are allowed to choose, at most, a total of 4 manufacturing facilities to satisfy the demand for the vaccine shots/masks. No. No. Demand 1 1 350 2 2 Vaccination Clinics Location Virginia Beach Alexandria Blacksburg Charlottesville Lake Ridge 0 3 3 700 4 4 Potential Manufacturing Facilities Location Mask Production Capacity Norfolk 0 Suffolk 600 Richmond 200 Hampton 400 Lynchburg 300 Manassas 0 Arlington 0 Newsport News 800 Dale City 450 Reston 900 850 5 5 400 6 7 8 9 10 a. (5 pts.) Model the problem. b. (10 pts.) Provide a transportation plan which minimizes the total distance travelled and clearly contains the choice of manufacturing facilities, the number of vaccine shots/face masks to be transported, and the source/destination for them. c. (5 pts.) Provide a figure which represents your proposed solution visually