IEOR162_hw02

# IEOR162_hw02 - IEOR 162 Spring 2010 Suggested Solution to...

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Unformatted text preview: IEOR 162, Spring 2010 Suggested Solution to Homework 02 Problem 3.1.1 Let x 1 = number of acres of corn planted and x 2 = number of acres of wheat planted. Then the problem can be formulated as z * = max 30 x 1 + 100 x 2 s.t. 4 x 1 + 10 x 2 ≤ 40 (Total amount of labor hours) x 1 + x 2 ≤ 7 (Total amount of land) 10 x 1 ≥ 30 (Minimum quantity of corn produced) x 1 ≥ (This is not required since we already have 10 x 1 ≥ 30) x 2 ≥ . Problem 3.1.2 (a) No: Since 10 × 2 < 30, this point violates the third constraint. (b) No: Since 4 × 4 + 10 × 3 > 40, this point violates the first constraint. (c) No: Since- 1 < 0, this point violates the fifth constraint. (d) Yes: This point satisfies all the constraints. Problem 3.2.5: Formulation and graphical solution Let x 1 = number of desks produced and x 2 = number of chairs produced. Then the problem can be formulated as z * = max 40 x 1 + 25 x 2 s.t. 2 x 1- x 2 ≤ (Marketing restriction) 4 x 1 + 3 x 2 ≤ 20 (Total amount of woods) x 1...
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IEOR162_hw02 - IEOR 162 Spring 2010 Suggested Solution to...

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