Question: Given the linear program Max 3x+4y s.t. -x+2y 8 x + 2y 12 2x + y 16 x, y 0 Write the problem in standard

Given the linear program

Max 3x+4y

s.t. -x+2y 8

x + 2y 12

2x + y 16

x, y 0

  1. Write the problem in standard form. Identify slack/surplus variables.

  1. Find all the extreme points. List the value for x and y at each extreme point.

  1. What is the optimal solution?
  2. What are the values of the slack/surplus variables at the optimal solution?

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