Set_5_econ_dual - Dr. Maddah ENMG 500 Engineering...

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1 Dr. Maddah ENMG 500 Engineering Management I 11/28/06 Duality (Continuous) Economic Interpretation of duality ¾ A resource allocation example . Dakota furniture company manufactures desks, tables and chairs. The manufacturing of each type of furniture requires three resources: Lumber, finishing labor, and carpentry labor. The amount of each resource needed to make one unit of a certain type of furniture is as follows. Desk Table Chair Lumber 8 lft 6 lft 1 lft Finishing hours 4 hrs 2 hrs 1.5 hrs Carpentry hours 2 hrs 1.5 hrs 0.5 hrs At present, 48 lft of lumber, 20 hours of finishing hours, and eight hours of carpentry hours are available. A desk sells for $60, a table for $30, and a chair for $20. How many of each type of furniture should Dakota produce? ¾ Let x 1 , x 2 , and x 3 respectively denote the number of desks, tables and chairs produced. Dakota problem is solved with the following LP: 123 12 3 max 60 30 20 s.t. 8 6 48 4 2 1.5 20 2 1.5 0.5 8 0, 0, 0 xx x xxx x x x + + ++≤ + +≤ + ≥≥≥ ¾
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Set_5_econ_dual - Dr. Maddah ENMG 500 Engineering...

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