Given the following information set up the problem in a transportation table and solve for the minimum$-$cost plan:

$$PERIOD$123$Demand$550700750$Capacity$$Regular$500500500$Overtime$505050$Subcontract$120120100$Beginning inventory$100$Costs$$Regular time$ $60$ per unitOvertime$ $80$ per unitSubcontract$ $90$ per unitInventory carrying cost$ $1$ per unit per monthBack$-$order cost$ $3$ per unit per month

what is the minimum total cost