8. A farm has solar panels that produce 170 kW over [08, 12] and [16,20], and 230 kW over [12, 16], where time intervals are based on hours of a day in a 24-hour clock. The farm needs only 10 kW during night and early morning, i.e., [20,24] and [00, 08]. Its activity picks up during the day so 180 kW is required over [08, 20]; see Table. Table 2: Panel production and farm demand over time. | [00, 08] [08, 12] [12, 16] [16, 20] [20, 24] Power supply or energy production rate in kW 0 170 230 170 0 Power demand or energy consumption rate in kW 10 180 180 180 10 a) Establish that the farm can be self-sufficient in terms of energy if it has a sufficiently large battery to store electricity. b) Unfortunately, solar power generation does not happen exactly when the farm needs energy. So some elec tricity needs to be stored in a battery. What is minimum battery capacity that makes the farm self-sufficient