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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 P 600. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts, and costs P 500. 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 low sulfur and how many gallons of high sulfur must be utilized per hour in order to minimize the cost of fuel?

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 P 600. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts, and costs P 500. 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 low sulfur and how many gallons of high sulfur must be utilized per hour in order to minimize the cost of fuel?

Algebra for College Students
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
Problem 37CR
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Example 3 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 P600. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts, and costs 500. 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 low sulfur and how many gallons of high sulfur must be utilized per hour in order to minimize the cost of fuel?
Transcribed Image Text:Example 3 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 P600. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts, and costs 500. 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 low sulfur and how many gallons of high sulfur must be utilized per hour in order to minimize the cost of fuel?
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