One power system has 3 electric power plants that supply the needs of 3 cities

3) One power system has 3 electric power plants that supply the needs of 3 cities The capacity of each power plant was given in the Table below (in MW) The power demands in these cities are as follows[.]

3) One power system has electric power plants that supply the needs of cities The capacity of each power plant was given in the Table below (in MW) The power demands in these cities are as follows (in MW): city1—45; city 2—20; city 3—30; The costs of sending MW of electricity from plant to city are given: From Plant Plant Plant Demand (MW) City 16 45 To City 15 21 20 City 17 20 10 30 Supply (MW) 35 20 40 Formulate a transportation problem to minimize the cost of supplying the power demands to cities (Defining variables, objective function, constraints) (2đ) 4) One power system that has electric power plants supplying the needs of cities The availability of each power plant: 20, 30, 45 MW The cost for electricity transportation from power plants to cities are: C11 = 12 C21 = 10 C31 = C12 = C22 = C32 = 11 C13 = 16 C23 = 20 C33 = 13 C14 = 18 C24 = 14 C34 = 17 The demands of cities are: 20, 25, 15, 35 MW Find the power transported from each plant to each city in order to minimize the total cost (3đ)