Mr. Bear Cat owns an Island in Hawaii and is responsible for satisfying the electricity demand on that island. He has access to solar photovoltaics, wind turbines, and natural gas combined cycle powerplants to satisfy the electricity demand Parameters Cost (S/MWh) Capacity (MW) Capacity Factor (%) Solar PV 40 4 30 Wind Turbine 55 5.5 40 Natural Gas 30 3 90 Total demand over the next 24 hours: 100 MWh Mr. Bear Cat wants to serve the electricity demand for the next 24 hours at the lowest cost. Any non- served demand will cost 50 $/MWh. a) Describe decision variables, constraints, and objective function in words. (3 points) b) Please provide a mathematical formulation for the above optimization problem. (5 points) c) What is the merit order of the available generators? In other words, which generator will be dispatched first? (2 points)