14. Which plants are open and how do these plants meet the demand for the five regions? Are there any plant(s) with excess capacity? Is yes, which plant(s) and what is the excess capacity at these plant(s)? (5 points)

15. How many decision variables were used to model and solve the above problem? Describe the nature of these decision variables? What are the components of the objective function? (5points

Inputs - Costs, Capacities, Demands Demand Region Production and Transportation Cost per 1,000,000 Units Fixed Low N. Fixed High Cost ($) Capacity Supply Region America America Europe Asia Africa Cost ($) Capacity N. America 81 117 102 115 S. America 9,000 8.750 82 77 105 125 101 108 95 30 130 98 113 50 105 8,000 4.500 8.500 Europe 115 100 111 74 71 Asia 4.100 Africa Demand 4.000 8 14 16 7 Decision Variables Plants Plants Demand Region - Production Allocation (1000 Units) N. S. America America Europe Asia Africa (1=open) (1=open) Supply Region N. America S. America Europe Asia Africa OOOON 16 0100 Excess Capacity Constraints Supply Region N. America S. America Europe Asie Africa America S America Europe Asia Africa Unmet Demand Objective Function Cost = Inputs - Costs, Capacities, Demands Demand Region Production and Transportation Cost per 1,000,000 Units Fixed Low N. Fixed High Cost ($) Capacity Supply Region America America Europe Asia Africa Cost ($) Capacity N. America 81 117 102 115 S. America 9,000 8.750 82 77 105 125 101 108 95 30 130 98 113 50 105 8,000 4.500 8.500 Europe 115 100 111 74 71 Asia 4.100 Africa Demand 4.000 8 14 16 7 Decision Variables Plants Plants Demand Region - Production Allocation (1000 Units) N. S. America America Europe Asia Africa (1=open) (1=open) Supply Region N. America S. America Europe Asia Africa OOOON 16 0100 Excess Capacity Constraints Supply Region N. America S. America Europe Asie Africa America S America Europe Asia Africa Unmet Demand Objective Function Cost =