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4.1 Slack Variables and the Simplex Method

4.1 Slack Variables and the Simplex Method. Steps to setting this up:. Try it out:. Maximize the objective function x + 2 y + z subject to:. Re-write the inequality system as a system of equalities Make sure to use the objective function as the last equality

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4.1 Slack Variables and the Simplex Method

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  1. 4.1 Slack Variables and the Simplex Method Steps to setting this up: Try it out: Maximize the objective function x + 2y + z subject to: • Re-write the inequality system as a system of equalities • Make sure to use the objective function as the last equality • Write the system of equalities as a matrix • State the current solution.

  2. 4.1 Slack Variables and the Simplex Method Practice State the current solution. • Maximize the objective function 3x + 8y subject to:

  3. 4.2 The Simplex Method: Maximum Problems Maximize 80x + 70y subject to: Turns to: Now turns to: Separates variables from answers. If negative, not done! Separates the “max” equation. Tells us everything must be positive. If negative, not done! Will be the final “max” answer.

  4. 4.1 Slack Variables and the Simplex Method • Problems to complete: • Pg. 159 #3 – 5 (write it as a system ofequations, and then write the corresponding matrix) 11 – 14 • Pg. 169 #5

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