hw3-2 - x > 0 y > 0 Objective...

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Math 1160 – Section 3.2 Answer Key 8. The objective function is maximized at (0, 0). 12. The objective function is minimized at (6, 0). 14. The vertices of the feasible set are: (0, 15), (5, 8), (10, 4), (20, 0) The objective function is maximized (10, 4) b Mine 1 should run 10 days and Mine 2 should run 4 days. 18. The vertices of the feasible set are: (0, 0) (0, 45/2) (21, 0) (9, 18) (15, 12). The profit is maximized at (15, 12) b produce 15 denim jackets and 12 hooded fleece jackets. 32. x + y < 150 (lots) 150x + 200y < 24,000 (labor days) 12,000x + 32,000y < 2,880,000 (capital)
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Unformatted text preview: x &gt; 0 y &gt; 0 Objective Function: 2400x + 3400y = profits Vertices: (0, 0), (0, 90), (80, 60), (120, 30), (150, 0) The maximum profit occurs at (80, 60 ). Build 80 of the first type of home and 60 of the second type of home. 34. 2x + y &lt; 120 (cutting hours) x + 3y &lt; 150 (stringing hours) 2x + 2y &lt; 140 (finishing hours) x &gt; 0 y &gt; 0 Objective Function: 8x + 10y = profit (what you will maximize) Vertices: (0, 0), (0, 50), (30, 40), (50, 20), (60, 0) The maximum profit is achieved at (30, 40) b make 30 lacrosse sticks of type A and 40 lacrosse stick of type B....
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This note was uploaded on 05/21/2008 for the course MATH 116 taught by Professor Copeland during the Spring '08 term at Western Michigan.

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hw3-2 - x &amp;amp;gt; 0 y &amp;amp;gt; 0 Objective...

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