Groups Calendar Support BAU BAUGO BAU Library Management S... Overview Plans Resources Status and follow-up Participants More A household utility manufacturer in China has 5 major customers (A, B, C, D, E) and currently has 6 household utility manufacturing facilities. The company decides to keep some of those facilities operating and some of them shutting down. The transportation costs, annual fixed costs, supply capacities and demands are given the table below: B c D E Annual Supply Fixed Cost Capacity Facility 1 $1 53 $5 $6 S4 $4000 400 Facility 2 2 5 7 4 3 5000 400 Facility 3 8 5 3 2 1 4500 400 Facility 4 1 5 7 2 3 5200 400 Facility 5 5 3 2 4 8 4800 400 Facility 6 4 2 5 6 8 4700 400 Demand 300 300 320 300 330 The car manufacturer company considers the following condition in their planning: Either facility 1 or facility 3 must be open If facility 5 is operating then facility 6 must be used. At most facilities must be open. Due to cost related conditions, the company cannot select facility 2 and facility 4 at the same time. Formulate an integer programming model that determines which facilities to keep open, which facilities to close and the amount of transported household utilities from facilities to customers with a minimum cost do not solve the problem, define an integer model !) jpg SA 4:20 o search E 72F Partly sunny AD 00) TUR la 20 6/20 hp A household utility manufacturer in China has 5 major customers (A, B, C, D, E) and currently has 6 household utility manufacturing facilities. The company decides to keep some of those facilities operating and some of them shutting down. The transportation costs, annual fixed costs, supply capacities and demands are given the table below: B D E Annual Supply Fixed Cost Capacity Facility 1 $1 S3 $5 $6 $4 $4000 400 Facility 2 2 5 7 4 3 5000 400 Facility 3 8 5 3 2 1 4500 400 Facility 4 1 5 7 2 3 5200 400 Facility 5 5 3 2 4 8 4800 400 Facility 6 6 4 2 5 6 8 4700 400 Demand 300 300 320 300 330 The car manufacturer company considers the following condition in their planning: Either facility 1 or facility 3 must be open. if facility 5 is operating then facility 6 must be used. At most 5 facilities must be open. Due to cost related conditions, the company cannot select facility 2 and facility 4 at the same time. Formulate an integer programming model that determines which facilities to keep open, which facilities to close and the amount of transported household utilities from facilities to customers with a minimum cost.(do not solve the problem, define an integer model !)