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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 cost $600. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 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 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 cost $600. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 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 to minimize the cost of fuel?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 cost $600. 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 to minimize the cost of fuel?
Transcribed Image Text: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 cost $600. 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 to minimize the cost of fuel?
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