Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 5, Problem 8RP

a.

Explanation of Solution

Overtime cost

  • Let RM be the number of units of raw materials purchased each week, A1 be the dollars spent each week on advertising product 1 and A2 be the dollars spent each week on advertising product 2

b.

Explanation of Solution

Optimum solution

  • Let RM be the number of units of raw materials purchased each week, A1 be the dollars spent each week on advertising product 1 and A2 be the dollars spent each week on advertising product 2.
  • The new optimum solution value or profit is calculated by the given formula:

    New value = Old value – (Key column value × Key row value<

c.

Explanation of Solution

Pay for another unit of raw material

  • Let RM be the number of units of raw materials purchased each week, A1 be the dollars spent each week on advertising product 1 and A2 be the dollars spent each week on advertising product 2.
  • From the LINDO output, the shadow price for row 5 is $4

d.

Explanation of Solution

Pay for another hour of machine time

  • Let RM be the number of units of raw materials purchased each week, A1 be the dollars spent each week on ad

e.

Explanation of Solution

Profit

  • Let RM be the number of units of raw materials purchased each week, A1 be the dollars spent each week on advertising product 1 and A2 be the dollars spent each week on advertising product 2.
  • The new optimum solution value or profit is calculated by the given formula:

    New value = Old value – (Key column value × Key row value

f.

Explanation of Solution

Shadow price

  • Let RM be the number of units of raw materials purchased each week, A1 be the dollars spent each week on advertising product 1 and A2

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