Minimise the total transportation cost while meeting the demand and production constraints. Solving a Linear Programming Problem using the Graphical Method. Production Capacity at Plants: Plant A: $400$ units of Product X$,300$ units of Product Y Plant B: $500$ units of Product X$,400$ units of Product Y Plant C: $600$ units of Product X$,200$ units of Product Y Market Demand at Distribution Centers: Center $1$: $200$ units of Product X$,300$ units of Product Y Center $2$: $400$ units of Product X$,100$ units of Product Y Center $3$: $300$ units of Product X$,200$ units of Product Y Center $4$: $250$ units of Product X$,150$ units of Product Y Transportation Costs in usd per unit from Plants to Centers: Center $1$ Center $2$ Center $3$ Center $4$ Plant A $6859$ Plant B $91076$ Plant C $11798$