Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 5, Problem 1RP
a.
Explanation of Solution
Profit
- Let
- The new optimum solution value or profit is calculated by the given formula:
- The key row value can be calculated by the given formula:
- From the LINDO output, here the old optimum value is 1,360,000.
- Hence the new value is:
b.
Explanation of Solution
Increasing capacity
“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.
Reason
- From the LINDO output, the dual price in row 2 is 133.333.
- When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).
- This means the profit value should be greater than 5000.
- Hence the capacity should be increased and here the allowable increase is 100.
- Hence HAL should hire the contractor in order to increase the capacity.
c.
Explanation of Solution
Profit
- The new optimum solution value is calculated by the given formula:
- The key row value can be calculated by the given formula:
- From the LINDO output, the reduced cost for XLV is 33.333.
- Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.
d.
Explanation of Solution
Extra labour cost
- Let
- Here the labour is purchased at a cost of 20 per hour.
- Here the Key value is 313.333.
- Hence the
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Chapter 5 Solutions
Operations Research : Applications and Algorithms
Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 5PCh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5P
Ch. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.3 - Prob. 1PCh. 5.3 - Prob. 3PCh. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 10PCh. 5.3 - Prob. 11PCh. 5 - Prob. 1RPCh. 5 - Prob. 2RPCh. 5 - Prob. 3RPCh. 5 - Prob. 4RPCh. 5 - Prob. 6RPCh. 5 - Prob. 7RPCh. 5 - Prob. 8RPCh. 5 - Prob. 9RPCh. 5 - Prob. 10RPCh. 5 - Prob. 11RPCh. 5 - Prob. 12RPCh. 5 - Prob. 13RPCh. 5 - Prob. 14RPCh. 5 - Prob. 15RPCh. 5 - Prob. 16RP
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