min z = 3x + y s.t. y-0.5x ≥ 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 = Optimal objective value: y =

min z = 3x + y s.t. y-0.5x ≥ 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 = Optimal objective value: y =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.

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