Table for simplex methos
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The document contains two linear programming problems with multiple iterations. It includes the objective function and constraints for each problem. It then shows the initial tableau and several subsequent tableaus with basic and non-basic variables, quantities, solutions, gross and net values, and identifies the pivot column and row for each iteration. The goal is to either maximize profit or minimize cost subject to the given constraints.
Table for simplex methos
- 1. Name:_____________________________________ Date:___________________ Objective function: _____________________________ Subjectto (constraints):______________________________ ______________________________ ______________________________ ______________________________ Initial Tableau (or Iteration1) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Profit Max + ? Yes/No Pivot column(enteringvariable)is:_____________ Pivotrow is:_____________ SecondTableau (or Iteration2) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Profit Max + ? Yes/No Pivot column(enteringvariable)is:_____________ Pivotrow is:_____________
- 2. Third Tableau (or Iteration3) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Profit Max + ? Yes/No Pivot column(enteringvariable)is:_____________ Pivotrow is:_____________ Fourth Tableau (orIteration4) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Profit Max + ? Yes/No Pivot column(enteringvariable)is:_____________ Pivotrow is:_____________
- 3. Name:_____________________________________ Date:___________________ Objective function: _____________________________ Subjectto: ______________________________ ______________________________ ______________________________ ______________________________ Initial Tableau (or Iteration1) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 𝑨 𝟏 𝑨 𝟐 𝑨 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Cost Min - ? Yes/No Pivot column(enteringvariable)is:_____________ Pivotrow is:_____________ SecondTableau (or Iteration2) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 𝑨 𝟏 𝑨 𝟐 𝑨 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Cost Min - ? Yes/No Pivot column(enteringvariable)is:_____________ Pivotrow is:_____________
- 4. Third Tableau (or Iteration3) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 𝑨 𝟏 𝑨 𝟐 𝑨 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Cost Min - ? Yes/No Pivot column(enteringvariable)is:_____________ Pivotrow is:_____________ Fourth Tableau (orIteration4) Basic 𝑪𝒋 𝑪𝒋 Quantity Sol’n X Y 𝒔 𝟏 𝒔 𝟐 𝒔 𝟑 𝑨 𝟏 𝑨 𝟐 𝑨 𝟑 Gross 𝒁𝒋 Net 𝑪𝒋 − 𝒁𝒋 Total Cost Min - ? Yes/No Pivot column(enteringvariable)is: _____________ Pivotrow is:_____________