Create the mathematical model for the following problem in a linear program. There are water supply sources and farms. Each farms requires _j , = 1, . . . , gallons of water, and each water supply source can produce at most _i, = 1,..., gallons of water. Transferring one gallon of water from water source to farm costs c dollars. Write a Linear Program to minimize the cost of transferring water from the water supply sources to the farms, meeting the demand of all farms while not exceeding the supplying capability of any water sources. HINT: decide how many units should go from each water source to each farm.