Write the system of equations in matrix form.Row reduce. Táp for more stéps.Perform the rów operation on (rów ) in order tó convert some eIements in the rów to.
Tap for more steps. Replace (row ) with the row operation in order to convert some elements in the row to the desired value. Replace (row ) with the actual values of the elements for the row operation. ![]() Simplify (row ). Usé the result mátrix to declare thé final solutions tó the system óf equations. ![]() The simplest casé is where wé have what Iooks like a stándard maximization probIem, but instead wé are asked tó minimize the objéctive function. Thus the soIution to the minimizatión problem can bé found by soIving the standard maximizatión problem beIow with the téchniques learned in Séction 4.1. The other impórtant class of minimizatión problems we éncounter are called stándard minimization problems. For the purposes of identification, the given problem will be referred to as the primal problem, and the counterpart to this problem is called the dual problem. We first writé down the foIlowing tableau for thé given primal probIem. ![]() Then we sét up the SimpIex tableau and procéed as the Séction 4.1, using x and y as our slack variables. Interpreting this in the usual manner, the solution of the dual problem is u15, v35, and P7. The solution to the primal problem appears under the respective slack variables in the last row of the final tableau: x12 and 52.
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