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An oil company operates two refineries in a certain city. Refinery I has an output of 200, 100, and 100 barrels of low-, medium-, and high-grade oil per day, respectively. Refinery II has an output of 100, 200, and 600 barrels of low-, medium-, and high-grade oil per day, respectively. The company wishes to produce at least 1000, 1400, and 3000 barrels of low-, medium-, and high-grade oil to fill an order. If it costs $1000/day to operate Refinery I and $1500/day to operate Refinery II, determine how many days each refinery should be operated to meet the production requirements at minimum cost to the company. Refinery I     days Refinery II     days What is the minimum cost? $

An oil company operates two refineries in a certain city. Refinery I has an output of 200, 100, and 100 barrels of low-, medium-, and high-grade oil per day, respectively. Refinery II has an output of 100, 200, and 600 barrels of low-, medium-, and high-grade oil per day, respectively. The company wishes to produce at least 1000, 1400, and 3000 barrels of low-, medium-, and high-grade oil to fill an order. If it costs $1000/day to operate Refinery I and $1500/day to operate Refinery II, determine how many days each refinery should be operated to meet the production requirements at minimum cost to the company. Refinery I     days Refinery II     days What is the minimum cost? $

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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An oil company operates two refineries in a certain city. Refinery I has an output of 200, 100, and 100 barrels of low-, medium-, and high-grade oil per day, respectively. Refinery II has an output of 100, 200, and 600 barrels of low-, medium-, and high-grade oil per day, respectively. The company wishes to produce at least 1000, 1400, and 3000 barrels of low-, medium-, and high-grade oil to fill an order. If it costs $1000/day to operate Refinery I and $1500/day to operate Refinery II, determine how many days each refinery should be operated to meet the production requirements at minimum cost to the company.

Refinery I     days
Refinery II     days


What is the minimum cost?
$

 

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