hw3.sol - IE 335 Operations Research - Optimization...

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Unformatted text preview: IE 335 Operations Research - Optimization Solutions to Homework 3 Spring 2012 Problem 11 Let x B ,x H ,x A ,x P represent amounts invested in bonds, home loans, auto loans and personal loans respec- tively. max 0 . 10 x B + 0 . 16 x H + 0 . 13 x A + 0 . 20 x P s.t. x B + x H + x A + x P 500 , 000 x P x B x H x A x P 1 4 ( x B + x H + x A + x P ) x B ,x H ,x A ,x P Problem 12 Let x 5 ,x 6 ,...,x 10 represent the number of people who work 4-hour shifts starting at 5am, 6am, ..., 10 am respectively. min 4(7( x 5 + x 6 + x 7 ) + 6( x 8 + x 9 + x 10 )) (1) s.t. x 5 2 (2) x 5 + x 6 3 (3) x 5 + x 6 + x 7 5 (4) x 5 + x 6 + x 7 + x 8 5 (5) x 6 + x 7 + x 8 + x 9 4 (6) x 7 + x 8 + x 9 + x 10 3 (7) x 8 + x 9 + x 10 2 (8) x 9 + x 10 5 (9) x 10 6 (10) x 5 ,...,x 10 (11) The objective function (1) tries to minimize the total cost of the staffing plan. Each of the following constraints enforce the number of runners required for each hour. E.g. Constraint (5) ensures that fromconstraints enforce the number of runners required for each hour....
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This note was uploaded on 02/22/2012 for the course IE 335 taught by Professor Jean-philippe,r during the Spring '08 term at Purdue University-West Lafayette.

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hw3.sol - IE 335 Operations Research - Optimization...

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