A power plant burns coal, oil, and gas to generate electricity. Suppose that each ton of coal generates 1,000 kilowatts, emits 40 units of sulfur dioxide and 35 units of particular matter, and costs PhP400. Each ton of oil generates 750 kilowatts, emits 38 units of sulfur dioxide and 32 units of particular matter, and costs PhP440. Each ton of gas generates 750 kilowatts, emits 35 units of sulfur dioxide and 30 units of particular matter, and costs PhP500. The environment protection agency restricts the daily emission of sulfur dioxide to no more than 80 units and no more than 95 units of particular matter. If the power plant wants to spend no more than PhP4,000 per day on fuel, how much of each type should be used to maximize the amount of power generated?
A power plant burns coal, oil, and gas to generate electricity. Suppose that
each ton of coal generates 1,000 kilowatts, emits 40 units of sulfur dioxide and 35 units of particular matter, and costs PhP400. Each ton of oil generates 750 kilowatts, emits 38 units of sulfur dioxide and 32 units of particular matter, and costs PhP440. Each ton of gas generates 750 kilowatts, emits 35 units of sulfur dioxide and 30 units of particular matter, and costs PhP500. The environment protection agency restricts the daily emission of sulfur dioxide to no more than 80 units and no more than 95 units of particular matter. If the power plant wants to spend no more than PhP4,000 per day on fuel, how much of each type should be used to maximize the amount of power generated?
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