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Supreme Auto Parts produces components for motorcycle engines. It has plants in Amarillo, Texas, and Charlotte, North Carolina, and supply factories in Detroit and Atlanta. Production and cost data for a major component are as follows. Freight Costs Plant Detroit Atlanta Capacity Unit Cost Amarillo $13 $6 $1,200 $115 Charlotte $6 $4 $3,000 $140 Demand 2,000 700 Formulate a transportation model to determine the best distribution plan. If the constant is equal to one, enter “1”. Let: X11 = number of components produced in Amarillo and supplied to Detroit X12 = number of components produced in Amarillo and supplied to Atlanta X21 = number of components produced in Charlotte and supplied to Detroit X22 = number of components produced in Charlotte and supplied to Atlanta