A small generator burns two types of fuel: low sulfur and high sulfur to produce electricity. For one hour, each gallon of low sulfur emits 3 units of sulfur dioxide, generate 4 kilowatts electricity and costs P160.00. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts and costs P150,000. The environmental protection agency insists that the maximum amount of sulfur dioxide that can be emitted per hour is 15 units. Supposed that at least 16 kilowatts must be generated per hour.

How many gallons of high sulfur and low sulfur must be utilized per hour in order to minimize the cost of the fuel?

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Lets denote the number of gallons of ... View the full answer