OPERATIONS RESEARCH >INTERNATIONAL EDITI
OPERATIONS RESEARCH >INTERNATIONAL EDITI
4th Edition
ISBN: 9780534423629
Author: WINSTON
Publisher: CENGAGE L
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Chapter 5, Problem 12RP

a.

Explanation of Solution

Optimal solution

  • The new optimum solution value or profit is calculated by the given formula:

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

  • The key row value can be calculated by the given formula:

     Key row value = Current key row value / Ke

b.

Explanation of Solution

Optimal solution

  • The new optimum solution value or profit is calculated by the given formula:

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

  • The key row value can be calculated by the given formula:

     Key row value = Current key row value / Key element value

  • Here pi is the unit of product i produced, SL is the hour of skilled labour purchased and UL is the hour of unskilled labour purchased

c.

Explanation of Solution

Pay for extra hour of time

  • From the output, the dual price of machine 1 is row 2 which is 10.52.
  • Dual price of machine 2 is row 3 which is 6...

d.

Explanation of Solution

Pay for an extra hour

  • From the LINDO output, the dual price of skilled labour which is row 4 is 0...

e.

Explanation of Solution

Monthly profit

  • Here skilled labour is in excess supply already.
  • As a result, there is a slack of 16.67 hours left of skilled labour.
  • Hence additional skilled labour would...

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