Linear Programming

# Linear Programming - An Introduction to Linear Programming...

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1 An Introduction to Linear Programming Formulation Graphical LP Excel Solver

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2 Puck and Pawn Company The company makes two products: Hockey stick, with a profit per unit of \$2; Chess set, with a profit per unit of \$4. Production process Machine Center A -> Machine Center B -> Machine Center C
3 Production and Resources Resource requirements Hockey stick 4 hours at MC A and 2 hours at B Chess set 6 hours at A, 6 hours at B and 1 hour at C Resource available Machine A: 120 hours Machine B: 72 hours Machine C: 10 hours

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4 Hockey stick Chess set Production Quantity ? ? Profit Per Unit \$2 \$4 Hockey stick Chess set Resources Requirements by produc Limit Machine A 4 6 120 Machine B 2 6 72 Machine C 0 1 10 Since the chess set is more profitable, should we produce as many of it as we can?
5 Formulation Maximize Z = \$2 H+\$ 4 C Subject to constraints: 4H+6C 120 ( Machine A ) 2H+6C 72 ( Machine B ) 1C 10 ( Machine C ) H,C ≥ 0 ( Non-negativity Constraint )

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6 Linear Programming
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