Leixer 44 Report post Posted October 16, 2013 These are math problems while using Spread sheet, for some this might be hard, some could be fair or easy, for me it's hard hehe. can any 1 help me on solving this?i have small knowledge in excel spreadsheet THANK YOU, not sure if this is the right place for this topic PROBLEMS: 1. A company that makes concrete sells it in three quality levels, type 1 the being lowest, and type 3 being the highest. After deducting all variable costs, the net revenue is $30 per Tonne for type 1, $40 for type 2, and $50 per type 3. There are three operations, each of which limits the amount of production: crushing, grinding, and mixing. In addition, each type of concrete must be inspected. The model has been formulated as: Let X1, X2, and X3 represent respectively the number of type 1, 2, and 3 made in Tonnes per hour. maximize 30X1 + 40X2 + 50X3 subject to Crushing 2X1 + 4X2 + 5X3 80 Grinding 6X1 + 8X2 + 12X3 210 Mixing 5X1 + 7X2 + 8X3 146 Inspection 3X1 + 4X2 + 5X3 50 non-negativity X1 ; X2 ; X3 0 (a) Solve using a spreadsheet Solver, and print the Answer and Sensitivity Reports. (b) State the solution in words, and indicate which constraints are binding. (c) By using the information from the Sensitivity Report (NOT by re-running the model each time), give the predicted change to the objective function value (and the reasoning behind your answer) for the following situations (taken one at a time). If the OFV cannot be predicted exactly, then give an answer such as “the OFV will increase by at least $100”. (i) The revenue per Tonne for type 1 concrete rises by $0.70. (ii) There are three fewer units of crushing. (iii) The revenue per Tonne for type 2 concrete increases by $8.00. (iv) The number of units of grinding decreases by 20. (v) The number of units of mixing increases by nine. (vi) The price per Tonnes of Type 1 cement falls by $3, and the price for Type 3 concrete rises by $15. (See the next page for the second problem.) 1 2. A company makes calculators at facilities in Shanghai (China), Bonn (Germany), and Cape Town (South Africa). These plants can make 1800, 900, and 2700 calculators per week beyond the demand in the “local” markets of Eastern Asia, Germany, and Africa respectively. All three plants can ship to markets elsewhere: Canada/USA, Latin America, Europe, and Western Asia. The demands per week in these three markets are for 1500, 600, 750, and 2300 calculators per week respectively. Calculators are shipped in boxes of 50. The shipping costs per box are as follows: From/To Canada/USA Latin America Europe Western Asia Shanghai 180 270 205 120 Bonn 230 250 80 190 Cape Town 200 210 185 220 (a) Formulate a model in Excel (there is no need to give the algebraic model) and solve it to determine how much should be shipped from the factories to the markets. State the solution in words. (b) Now suppose that calculators can be shipped from Cape Town to Bonn at a cost of $15 per box. For legal reasons, Shanghai cannot transship to Bonn. Formulate a model in Excel and solve it, and state the solution in words. Quote Share this post Link to post Share on other sites
Aquellia 20 Report post Posted October 19, 2013 I made a quick search for linear programming in excel: http://www.youtube.com/watch?v=RicajFzoenk I hope that helps, If not searching for 'linear programming in excel' or 'linear programming using excel solver' should give you plenty of other results. Quote Share this post Link to post Share on other sites
Leixer 44 Report post Posted October 19, 2013 thank you :D Quote Share this post Link to post Share on other sites