2. 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, generates 4 kilowatts electricity and costs P160. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts and costs P150. 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 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 fuel? Requirement: 1. Represent the unknown in the problem and Formulate the objective function and constraints 2. Graph the constraints and Solve for the coordinates at the point of intersection of lines. 3. Find the optimum solution (substitute the coordinates at the vertices in the objective function) and formulate decision

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SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR SOLUTIONS.
2. 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, generates 4 kilowatts electricity and costs P160. Each gallon of high sulfur emits 5 units of sulfur
dioxide, generates 4 kilowatts and costs P150. 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 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 fuel?
Requirement:
1. Represent the unknown in the problem and Formulate the objective function and constraints
2. Graph the constraints and Solve for the coordinates at the point of intersection of lines.
3. Find the optimum solution (substitute the coordinates at the vertices in the objective function) and formulate decision
Transcribed Image Text:SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR SOLUTIONS. 2. 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, generates 4 kilowatts electricity and costs P160. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts and costs P150. 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 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 fuel? Requirement: 1. Represent the unknown in the problem and Formulate the objective function and constraints 2. Graph the constraints and Solve for the coordinates at the point of intersection of lines. 3. Find the optimum solution (substitute the coordinates at the vertices in the objective function) and formulate decision
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