Please help to solve C, D & E

1. Problem 1 Three electric power plants with capacities of 25, 40, and 30 million kWh supply clectrici ty to three cities. The maximum demands at the three cities are estimated at 30, 35, and 25 million kWh. The price per million kWh at the three cities is given in Table 3.6. During the month of August, there is a 20% increase in demand at each of the three cities. which can be met by purchasing electricity from another network at a premium rate of $1000 per million kWh. The network is not linked to city 3, however. The utility company wishes to determine the most cconomical plan for the distribution and purchase of additional energy at formulate the problemas a transportation problem b) Use-northwest method to find an initiatsolution c) Use least cost method to find an initial solution d) Use Vogel Algorithm to find initial solution e) Using the initial solution with the lowest cost use the method of multiplier to fond the optimal solution TABLE 5.6 Price/Million kWh for Problem 6 City 2 . Plant 2 $600 $320 S500 $700 $300 $480 $400 $350 $450