Lecture 6 - LP Exercises and Excel Solver A formulation...

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LP Exercises and Excel Solver A formulation problem The solver
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A Simplex problem Solve the following problem by the solver: max Z = - 3 x 1 + 6 x 2 st: 5 x 1 + 7 x 2 35 - x 1 + 2 x 2 2 x 1 , x 2 0
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Solution by the Solver Solver Solution
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Production Planning problem A production company got a contract to make 10000 casings. The price of each casing is $4.85.The company has developed 4 different production designs for the casing. Each design has a different set of machine utilization, cost, and rejection percentage. The following table gives these values. Formulate this problem to find the most profitable combination of designs. Production Machine Time (min) Design Cutting Forming Welding Mtl.Cost Rejection % 1 0.40 0.70 1.00 3.355 3 2 0.80 1.00 0.40 4.15 1 3 0.35 0.60 1.20 3.005 4 4 0.70 0.80 0.60 3.705 2 Cost/min 0.20 0.30 0.15 Cap. (hrs) 90 140 154
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Production Model x j : The number of casings to be produced by the i th design. max Z= (0.97*4.85-0.2*0.4-0.3*0.7-0.15*1-3.355)x
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Lecture 6 - LP Exercises and Excel Solver A formulation...

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