A rooftop installation of solar panels is being considered by a farmer living remotely in the Burren, Co. Clare. The Sustainable Energy Authority of Ireland (SEAI) is offering a 1500 grant for the purchase of solar panels to incentivise their use. The utility provider is offering a feed-in tariff of 0.32 per kWh, while the standard cost of purchasing electricity from the grid is 0.19 per kWh. The annual estimated solar insolation for the Burren is 870 kWh/m2 /year. The modules are each 1 m2 and have an efficiency of 17%. A total of 6 modules are to be installed at a total cost of 4200, before the grant is applied. The farmer uses an average of 6500 kWh/year. (1) How much electricity will the installed PV system produce annually? [3 marks] (ii) How long will the system take to pay for itself? [5 marks] (111) If each additional solar panel costs 220, how many panels are required to bring the payback time below 5 years? [7 marks] (iv) How big should the installation be to meet the annual electricity needs of the farm?