please help in this regard. which book question is this ? i need expert reply.

Three electric power plants with capacities of 25, 40 15 and 30 million kWh supply electricity to four cities. The maximum demands at the three cities are estimated at 30, 40, 35 and 25 million kWh. The price per million kWh at the four cities is given in Table. There is a penalty for each unnet city unit of demand With caty 1. a penalty cost of $950 is incurred with city 2 $800, with city 3 $900 and with city 4. $1100 The utility company wishes to determine the most economcal plan for the distribution of energy City2 City3 Cityl $600 Planti City4 $400 $700 $750 Plant2 $450 $650 $800 $500 Plant3 S320 $300 $675 Plant4 $500 $480 $450 $450 $700 er these questions according to problem given above. Set up balanced mathematical model Create transportation table Solve this problem by using north-west method. Solve this problem by using minimitz-cost method Select nos-improved solution that you found try to reacli optimal value by using transportation anplex method Compare the results that you found and try to explain the differences. Which algorithms are more efficient or not