A small generator burns 2 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 P160.00. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts and costs P150.00. 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 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?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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A small generator burns 2 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 P160.00. Each gallon of high sulfur
emits 5 units of sulfur dioxide, generates 4 kilowatts and costs P150.00. 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 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?
Transcribed Image Text:A small generator burns 2 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 P160.00. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts and costs P150.00. 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 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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