Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Expert Solution & Answer
Chapter 5, Problem 11RP
a.
Explanation of Solution
Cost function
- Let ci be the number of cars produced at plant i.
- From the LINDO output, the cost function value is determined by the equation C(x) = FC + V(x)
b.
Explanation of Solution
Smallest decrease
- 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 r
c.
Explanation of Solution
Production target
- From the LINDO output, the total cost increases by 70.
- Hence the cost of producing more cars is 70...
d.
Explanation of Solution
Fall of firm’s cost
- From the LINDO output, when each type of labour is payed for an extra hour then its objective function coefficient will be increased to 45.
- Here the productivity of labour is decreased from 1.5 hours to 1 hour per automobile.
- Hence as a result, the solution remains optimal...
e.
Explanation of Solution
Increase in cost
- From the LINDO output, if 2000 autos are produced, then the allowable increase will be 600.
- As a result, here the current solution remains optimal...
f.
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 va
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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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