Question: How do the graphical and simplex methods of solving LP
How do the graphical and simplex methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
Answer to relevant QuestionsYou have just formulated an LP problem with 12 decision variables and eight constraints. How many basic variables will there always be? What is the difference between a basic and a nonbasic variable?The first constraint in the High Note example in this chapter is 2X1 + 4X2 ≤ 80 (hours of electrician time available) Table M7.17 gives the final simplex tableau for this example on page M7-34. From the tableau, it was ...Consider the following financial problem:Maximize profit = $2X1 + $3X2Subject to 6X1 + 9X2 ≤ 18 9X1 + 3X2 ≥ 9 X1, X2 ≥ 0(a) Find the optimal solution using the simplex method.(b) What evidence ...The initial simplex tableau on page M7-49 was developed by Tommy Gibbs, vice president of a large cotton spinning mill. Unfortunately, Gibbs quit before completing this important LP application. Stephanie Robbins, the newly ...A firm that makes three products and has three machines available as resources constructs the following LP problem:Solve this problem by computer and answer these questions:(a) Before the third iteration of the simplex ...
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