m2 Use the simplex method to find the maximum value of P = 3x + 3y subject to these constraints:3x + 2y ≤ 180x-y≤ 30y s 60x 2 0, Υ 2 0What is the maximum value of P?What is the corner point which maximizes the profit?X =y =

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Answered: Use the simplex method to find the…

Use the simplex method to find the maximum value of P = 3x + 3y subject to these constraints: 3x + 2y ≤ 180 x-y≤ 30 y s 60 x ≥ 0, y 20

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 14T

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Question

Use the simplex method to find the maximum value of P = 3x + 3y subject to these constraints:
3x + 2y ≤ 180
x-y≤ 30
y s 60
x 2 0, Υ 2 0
What is the maximum value of P?
What is the corner point which maximizes the profit?
X =
y =

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Step 1: Convert th LLP into standard form.

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Step 2: Initial simplex tableau:

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Step 3: Second simplex tableau:

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Step 4: Third simplex tableau:

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Step 5: Fourth simplex tableau:

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