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 $160. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts, and costs $150. 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.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 51P
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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 $160. Each gallon of high sulfur emits 5 units of sulfur dioxide, generates 4 kilowatts, and costs $150. 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.

USE SIMPLEX LINEAR PROGRAMMING METHOD IN DETERMINING THE NUMBER OF BEDS AND CABINETS TO BE PRODUCED EACH PRODUCTION PERIOD TO MAXIMIZE PROFIT. SHOW STEP BY STEP PROCESS/SOLUTION

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