A power plan burns coal, oil and gas to generate electricity. Suppose that each ton of coal generates 800kilowatts, emits 20 units of sulpher dioxide and 15 units of particulate matter, and cost P200. Each ton of oil generates 550 kilowatts, emits 18 units of sulpher dioxide and 12 units of particulate matter and costs P220. Each ton of gas generates 550 kilowatts, emits 15 units of sulpher dioxide and 10 units of particulate matter and costs P250. The environmental protection agency restricts the daily emission of sulpher dioxide to no more than 60 units and no more than 70 units of particulate matter. If the power plan wants to spend no more than P2,000 per day on fuel, how much of each type should be used to maximize the amount of power generated?