Suppose you wish to minimize the cost of delivering ethanol from a set of production facilities with a maximum production supply si where i goes from 1 to n, to a set of metropolitan petroleum mixing facilities (as ethanol is mixed with gasoline) with required amounts pj where j goes from 1 to m. assume the cost of transportation from a production facility to a mixing facility is cij. formulate a linear program problem to serve the required demand with least cost. what might cause your linear program to be infeasible for solution?