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Introduction to Linear Programs

Linear Programming (LP) involves optimization problems aimed at maximizing or minimizing a specific objective function under given constraints. The objective function measures the solution's success, such as maximizing profit or minimizing costs. Constraints can include limitations like assembly line capacity or available worker hours. LP can be represented through equations, such as -3x + y = -2 and x + y = 10. Applications of LP span various fields including financial planning, network routing, production scheduling, logistics, and airline scheduling.

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Introduction to Linear Programs

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  1. Introduction to Linear Programs

  2. Linear Program (LP) Objective Function Constraints

  3. Objective Function Measures the solution Example Maximize Profit Minimize Cost Constraints Limitations on solution Example Assembly line capacity Available worker hours LP

  4. LP vs. System of Equations -3x + y = -2 x + y = 10

  5. Linear Programming Problems • Also called Optimization Problems • Minimize, Maximize something • Find a solution that gives the best answer as measured by the objective function

  6. LP Applications • Financial Planning • Network Routing • Production Scheduling • Manufacturing • Logistics • Airline Scheduling • Asset Management

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