Problem for Group E (formulate the problem and find optimal solution) A local power company is considering increasing its generating capacity to meet expected demand over the next 5 years. Currently, the company has a generating capacity of 600 MW. As per the demand forecast, the minimum generating capacities required over the next 5 years are as follows: Year 4 Minimum capacity (MW) 760 1020 1180 The company can increase its transmission capacity by purchasing five different types of generators: 20, 50, 80, 100, and 120 MW. The costs of acquiring, installing, and operating each of the five types of generators are summarized below: Acquiring and Generator Type (MW) Installation Cost/Unit Operating Cost/Unit/Year 50 20 10.0 4.0 6.0 80 100 100 17,0 120 220 'In million dollars Any number of generators (of any type) can be added in any year. However, once a generator is added, it must be operated in the future years as required. Formulate a mathematical programming model to determine the least cost expansion plan, for 5 years, while fulfilling all yearly demand Question want solution as mathematical model(decison variable,objective function constraints etc.) and also optimal solution