Assignment 5(1)

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University of Texas, Dallas *

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3333

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Industrial Engineering

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Dec 6, 2023

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pdf

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Assignment 5 1 Question 1. (40 points) You are provided with the following linear program: min z = 3 x + y s.t. y − 0 . 5 x ≥ 1 y + x ≥ 3 x ≤ 3 y ≤ 4 x, y ≥ 0 (a) On the following page, use the graphical solution method to identify the feasible region. Use the scale 0.5 by 0.5 for each small square. (b) Find the feasible extreme points and calculate their objective values. Extreme point 1: Extreme point 2: Extreme point 3: Extreme point 4: Extreme point 5: (c) Draw an isocost line that passes through the point ( x = 2 , y = 3) and find the direction of optimization. (d) Provide the optimal solution and optimal objective value. Optimal solution: x = y = Optimal objective value:
Assignment 5 2 x y
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