3. Solve the following problems by the bounded algorithm: (a) Minimize z = 6Xl - 2X2 -...

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3. Solve the following problems by the bounded algorithm:

(a) Minimize z = 6Xl - 2X2 - 3X3 subject to 2Xl + 4X2 + 2X3 :5 8 Xl - 2X2 + 3X3 ~ 7 o :5 Xl :5 2,0 :5 X2 :5 2,0 :5 X3 :::;; 1

(b) Maximize z = 3Xl + 5x2 +. 2X3 subject to Xl + 2X2 + 2x3 :5 10 2Xl + 4X2 + 3X3 =5 15

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