Question: Consider the following linear programming problem: Min 3x+4y s.t. x+3y6 x+y4 x,y0 Write the problem in standard form. Identify slack/surplus variables. (5 points) Find all

  1. Consider the following linear programming problem:

Min 3x+4y

s.t. x+3y6

x+y4

x,y0

  1. Write the problem in standard form. Identify slack/surplus variables. (5 points)

  1. Find all the extreme points. You must list the value for x and y at each extreme point. (5 points)

  1. Find the optimal solution. (5 points)

  1. What are the values of the slack and surplus variables at the optimal solution? (4 points)

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