Consider the following linear programming model with 4 regular constraints: Maximize 3X + 5Y (a) Draw your graph in the space below: subject to: 4X + 4Y ≤ 48 (constraint #1)  4X + 3Y ≤ 50 (constraint #2)  2X + 1Y ≤ 20 (constraint #3)  X ≥ 2 (constraint #4)  X, Y ≥ 0 (non-negativity constraints) (a) Which of the constraints is redundant? Constraint #______. Justify by drawing a graph similar to Figure 7.14 on p.263. (b) Is point (9,3) a feasible solution? _____. Explain your answer (by analyzing each of the constraints). Constraint #1: _______________________________________________________________ Constraint #2: _______________________________________________________________ Constraint #3: _______________________________________________________________ Constraint #4: ______________________________________________________________

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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.