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 of 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 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? Let x be the number of units of low sulfur fuel and y be the number of high sulfur fuel,

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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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 of 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 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? Let x be the number of units of low sulfur fuel and y be the number of high sulfur fuel,

how many units of low sulfur and high sulfur should be utilized?

how many gallons of high sulfur and low sulfur must be utilized per hour in order to minimize the cost of fuel? Let x be the number of units of low sulfur fuel and y be the number of high sulfur fuel, what is the minimum cost?

how many gallons of high sulfur and low sulfur must be utilized per hour in order to minimize the cost of fuel? Let x be the number of units of low sulfur fuel and y be the number of high sulfur fuel, what is the objective function?

 

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