Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.5 Linear Programming - Exercise Set 7.5 - Page 462: 26

Answer

Given statement does not make sense.

Work Step by Step

Sometimes, it is necessary to maximize or minimize the quantities involved in many problems to get the solution or to get the clarity of facts for taking decision. For this, use of linear algebraic expressions are highly useful. Objective function in the form of an algebraic linear expression is described in one or more variables that must be maximized or minimized according to the constraints given and need of the solution. Method that is used to do this is called linear programming method. One must follow following steps to solve a linear programming problem: First step is to graph the objective function. Next find out all the corner points of the graph and get the maximum and minimum values of objective function. Values obtained from corners of graph and maximum and minimum value obtained from it gives the solution of linear programming problem. It is always drawn graph for objective function and not the inequalities to solve the linear programming problem. Thus, the given statement, “I need to be able to graph systems of linear inequalities to solve linear programming problems.” does not make sense.
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