Rift Valley Sand and Gravel Pit have contracted to provide topsoil for three residential housing developments. Topsoil can be supplied from three different "farms" as follows:Farm Weekly capacity...

Rift Valley Sand and Gravel Pit have contracted to provide

topsoil for three residential housing developments. Topsoil can be supplied from three different "farms" as follows:FarmWeekly capacity (cubic yards)A100B200C200Demand for the topsoil generated by the construction projects is:ProjectWeekly demand (cubic yards)50150300The manager of the sand and gravel pit has estimated the cost per cubic yard to ship over each of the possible routes:Cost per cubic yard (in Birr)FromProject #1Project #2Project #3Farm A428Farm B519Farm C763A.Formulate a balanced transportation problem in a transportation tableau B.Find minimum transportation cost using Northwest corner, least cost and VAM methods