Sunco Oil produces oil at two wells. Well $1$ can produce up to $150,000$ barrels per day, and well $2$ can produce up to $200,000$ barrels per day. Sunco must first refine all oil produced at the wells at the ports of Mobile and Galveston before it can ship it by tanker to New York or Los Angeles. To refine $1,000$ barrels of oil costs $$5,780$ at Mobile and $$6,250$ at Galveston. Galveston has a refinery capacity of $150,000$ barrels per day, and Mobile has a refinery capacity of $180,000$ barrels per day. Los Angeles requires $160,000$ barrels per day, and New York requires $140,000$ barrels per day. The costs of shipping $1,000$ barrels between various locations are shown in the file P$05\_73.$xlsx$,$ where a blank indicates shipments that are not allowed. Determine how to minimize the transport costs in meeting the oil demands of Los Angeles and New York. If your answer is zero, enter $"0".$

Flows $($in $1,000$s of barrels$)$:

To