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 three (3) units of sulfur dioxide, generates four (4) kilowatts electricity and costs P60. Each gallon of high sulfur emits five (5) units of sulfur dioxide, generates four (4) kilowatts electricity and costs P50. 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 electricity 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? Formulate LP

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
icon
Related questions
Topic Video
Question

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 three (3) units of sulfur dioxide, generates four (4) kilowatts electricity and costs P60. Each gallon of high sulfur emits five (5) units of sulfur dioxide, generates four (4) kilowatts electricity and costs P50. 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 electricity 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? Formulate LP

Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College