Answered: Describe the bounds, limitations,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Describe the bounds, limitations, requirements, proportional relationships, and balance constraints:

Young Energy operates a power plant that includes a coal-fired boiler to produce steam to drive a generator. The company can purchase different types of coals and blend them to meet the requirements for burning in the boiler. The following table shows the characteristics of the different types of coals:

The required BTU/pound must be at least 11,900. In addition, the ash content can be at most 12.2% and the moisture content, at most 9.4%. Develop and solve a linear optimization model to find the best coal blend for Young Energy.

Туре
BTU/lb
% Ash
% Moisture
Cost ($/lb)
A
11,500
13%
10%
$2.49
11,800
10%
8%
$3.04
12,200
12%
8%
$2.99
D
12,100
12%
8%
$2.61

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