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MAT 540 Week 11 - Final Exam.doc

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Final Dra of MAT 540 Final
1. 
  !"#$%"&'
  !"#$"&%"('
  !"#$)%"&'
  !"#$
#
"&'
 
2. 
 !"#$
 !"#$&
 !"#$*+,-./&
 !"#$0+,-./&
3. +122222222222223
 
 45
 6
 
4. +$3#7*7'3+
38(944:7&#44:713
.; #:(:<79:9:
3=>#<=7> 3?
4(447<7
 1
 1
 
 
5. The reduced cost (shadow price) for a positive decision variable is 0.

 +
 @
6. '
 
 1<<<3
 16
 
7. !6:=3!
3?#443<
1 &4&(4<
 6<A=

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 A6<=
 6<=
 A6<A=
8. Decision models are mathematical symbols representing levels of activity.

 +
 @
9. The integer programming model for a transportation problem has constraints for supply at
each source and demand at each destination.

 +
 @
10. ?<
 6
 
 =
 
11. ?<11=
222222222222222223.6<6
6:222222222222223
 <
 <=
 <=
 <
 <
12. 222222222222113
 
 
 
 
 
13. ?<
 B661
 B66
#
"#1
#
 B6&6"&1" )&:
 B6 "6#)6&
14. The standard form for the computer solution of a linear programming problem requires
all variables to the right and all numerical values to the left of the inequality or
equality sign

 +

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 @
15. Constraints representing fractional relationships such as the production quantity of
product 1 must be at least twice as much as the production quantity of products 2, 3 and 4
combined cannot be input into computer software packages because the left side of the
inequality does not consist of consists of pure numbers.

 +
 @
16. ?1;<
 ;
 ;
 ;
 ;
17. The objective function is a linear relationship reflecting the objective of an
operation.

 +
 @
18. +%3#7**CC38&
6(944<DE44F<#444
3!*;#<EF< G
C;&<9F<#3=*>43(4<
C>4343
 4*4C
 4* 444C
 444*4C
 4* #44C
19. The linear programming model for a transportation problem has constraints for supply at
each source and demand at each destination.

 +
 @
20. @6:<3?(3<
11
&3E3<1 3
 6<A=
 A6<=
 6<=
 A6<A=
21. In a total integer model, all decision variables have integer solution values.

 +
 @
22. Linear programming is a model consisting of linear relationships representing a firm's
decisions given an objective and resource constraints.

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