An-Najah N. UniversityFaculty of Engineering and Information Technology

Department of Management Information systems

Operations Research and Applications MIS:10676213

Prepared by Mr.Maher AbubakerFall 2015/2016 Resources

Daniel J. Epstein Department of Industrial and Systems Engineering University of Southern California Andrew and Erna Viterbi School of Engineeringhttp://www.eecs.qmul.ac.uk/~eniale/teaching/ise330/index.htmlOperations Research: An Introduction, 9/EHamdy A. Taha, University of ArkansasISBN-10: 013255593X ISBN-13: 9780132555937©2011 • Prentice Hall • Cloth, 832 ppPublished 08/29/2010 http://www.pearsonhighered.com/educator/product/Operations-Research-An-Introduction/9780132555937.page#downlaoddiv INFORMS – www.informs.org � � ORMS - www.lionhrtpub.com/ORMS.shtml �Science of Better - www.scienceofbetter.org

Chapter 2

Using Excel’s Solver to Solve Linear Programming (LP)

Each cell has a reference or an address , the active cell is c4

The selected area has the range of F3:G5 , the address of the left upper corner and the right lower corner.

Setting up the Wyndor Glass Co. Example in an Excel Sheet

The following formulas should be used :Hours Used ( inside D5 cell ) =B5*B10 + C5*C10 Or =SUMPRODUCT( B5:C5;B10:C10)Because we want to drag the formula to the lower two cells ( D6 and D7 ) we useHours Used ( inside D5 cell ) =B5*B$10 + C5*C$10 / =SUMPRODUCT( B5:C5;B$10:C$10)

Total profit will be ( F10 ) =SUMPRODUCT( B2:C2;B$10:C$10)

After setting up the problem on the Excel Sheet Choose Solver from the Data Menu Solver Parameter Window will displayedFill the Parameters ( Set Target Cell, Equal To , By Changing Cells and the Constraints)

1. Set Target Cell to the Total Profit ( $F$10 )2. Set Equal To MaX Because it is a maximization problem3. Set the By Changing Cells to ( $B10:$C10 ) the value of the decision variables4. Click the Add Button to add constraints

• After Clicking the Add Button the Add Constrains Window will displayed

• Add the first constraints which is the non-negativity constraints • The changing cells ( B10:C10 ) which are the decision variables must be >= 0

• Click Add again to add new constraints

• The second constraint is let the values from D4:D6 <= the values from F4:F6i.e : the Left Hand Side must be <= the Right Hand Side• Then Click Ok

• Now you are ready to solve the problem• Click Solve

• The Solver Result will displayed on the Excel Sheet• Here The optimal Solution will be 2 batches of product 1 and 6 batches of product 2The optimal total profit will be $36,000.

See the video, An-Najah N. University e-learning tool on Zajel ( Moodle, Operations Research and Applications, Mr. Maher AbuBaker )