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 three (3) units of sulfur dioxide, generates four (4) kilowatts electricity, and costs P60.00. Each gallon of high sulfur emits five (5) units of sulfur dioxide, generates four (4) kilowatts and costs P50.00. The environmental protection agency insists that the maximum amount of sulfur dioxide that can be emitted per hour is 15 units. Suppose that at least 16 KW electricity must be generated per hour, (Let X be the low sulfur and Y be the high sulfur)

1. How many gallons of high sulfur must be utilized per hour in order to minimize the cost of fuel?
2. What is the constraint for sulfur dioxide?
3. What is the objective function?
4. What is the optimal objective?
5. What is the optimal cost?
6. What is the constraint for electricity generation?
7. How many gallons of low sulfur must be utilized per hour in order to minimize the cost of fuel?