Case - 8 (Amarco Inc.)
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Transcript of Case - 8 (Amarco Inc.)
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8/10/2019 Case - 8 (Amarco Inc.)
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Microsoft Excel 10.0 Sensitivity Report
Worksheet: [Case 8 AMARC.xls!Sol"tion
Report Create#: $%&0%&01' (:&0:&0 )M
Adjustable Cells
*inal Re#"ce# +,ective Allo-a+leCell a/e al"e Cost Coefficient ncrease
$C$6 Values of Variables X11 2175.3424658 0 15 0.2411894276
$D$6 Values of Variables X12 0 1.74623!005 15.99998213 1.74623!005
$!$6 Values of Variables X13 5424.6575342 0 16.5 0
$"$6 Values of Variables X21 0 1.81885!006 14.9999978 1.81885!006
$#$6 Values of Variables X22 6780.8219178 0 16 0
$$6 Values of Variables X23 6219.1780822 0 16.5 0.1929515421
$%$6 Values of Variables X31 8523.1164384 0 15 0
$&$6 Values of Variables X32 5476.8835616 0 16 2.42513!006
$'$6 Values of Variables X33 0 1.36241!005 16.49998594 1.36241!005
$($6 Values of Variables X41 2301.5410959 0 15 0
$)$6 Values of Variables X42 742.29452055 0 16 7.27540!006$*$6 Values of Variables X43 356.16438356 0 16.5 0
$+$6 Values of Variables X1 6400 0 17 34.906862813
$,$6 Values of Variables X2 0 1.9000000005 14.5 1.9000000005
$-$6 Values of Variables X3 0 3.7000000003 13.5 3.7000000003
$$6 Values of Variables X4 7600 0 14 2.9999999997
Co/strai/ts
*inal Sha#o- Constraint Allo-a+le
Cell a/e al"e )rice R.2. Si#e ncrease
$$10 #as A ( 7.275958!012 0.2 0 32630.136986
$$11 #as ( 7.27596!012 0.2 0 11108.397856
$$12 #as C ( 0 0.2 0 79200
$$14 Alalte ( 14000 17 14000 1.0000!030
$$15 Cat Cra #as ( 13000 16.4 13000 925.69982132
$$16 tr u/ #as ( 14000 17.2 14000 694.27486599
$$17 %soe/ta/e ( 11000 14 11000 1.0000!030
$$19 #as A ( 13000 0 12000 1000
$$20 #as ( 13000 2.2000000002 13000 3692.3076923
$$21 #as C ( 12000 0.1000000001 12000 7384.6153846
$$22 )areti/ ( 2.04636!012 1.6000000001 0 7384.6153846
$$24 #as A ( 13839.212329 0 0 13839.212329
$$25 #as ( 4273.1164384 0 0 4273.1164384
$$26 #as C ( 1.81899!012 0 0 13515.217391
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Allo-a+le3ecrease
0
1.0000!030
1.0000!030
1.0000!030
1.81885!006
0
2.42513!006
0
1.0000!030
7.27540!006
03.0206896556
0.1153846155
1.0000!030
1.0000!030
0.750000001
Allo-a+le
3ecrease
34523.116438
3255.7077626
5379.3103448
6400
5697.4885845
6000
7600
1.0000!030
456.30044771
1786.1520782
979.18955156
1.0000!030
1.0000!030
26000
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ase 4.1 AMAR O
Allate Catalti Craed #asoli/e trait u/ #asoli/e %soe/ta
ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ a
A C A C A C A
aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 2175 0 5425 0 6780.82 6219.18 8523 5477 0 2302 742
+,ective f"nction 15 16 16.5 15 16 16.5 15 16 16.5 15 16
Constraints
Rei# apor )ress"re
#as A 2 1 3 13
#as 2 1 3 13
#as C 2 1 3
Availa+ility
Alalte 1 1 1
Cat Cra #as 1 1 1
tr u/ #as 1 1 1
%soe/ta/e 1 13e/an#
#as A 1 1 1 1
#as 1 1 1 1
#as C 1 1 1
Marketin4 1 1 1 1 1 1 1 1
ctane
#as A 14 3 6 15
#as 16.5 2 4 17
#as C 7.5 7 13
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e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600
16.5 17 14.5 13.5 14 81(&00
0 0
7.3!012 0
13 3!012 0
1 14000 : 14000
1 13000 : 13000
1 14000 : 14000
1 1 11000 : 11000
13000 ; 12000
13000 ; 13000
1 12000 ; 12000
1.6!012 ; 0
13839.21 ; 0
4273.116 ; 0
8 4.5!012 ; 0
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e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 3062 0 0 0 6615
33 17 14.5 13.5 14 1568608
0.003793 0
0.00024 0
13 0.000109 0
1 14000 : 14000
1 13000 : 13000
1 14000 : 14000
1 1 11000 : 11000
13000 ; 12000
13000 ; 13000
1 19384.62 ; 12000
0.000124 ; 0
9750.009 ; 0
94576.92 ; 0
8 0.000254 ; 0
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ase 4.1 AMAR O
Allate Catalti Craed #asoli/e trait u/ #asoli/e %soe/ta
ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ a
A C A C A C A
aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 2175 0 5425 0 6780.82 6219.18 8523 5477 0 2302 742
+,ective f"nction 30 32 33 30 32 33 30 32 33 30 32
Constraints
Rei# apor )ress"re
#as A 2 1 3 13
#as 2 1 3 13
#as C 2 1 3
Availa+ility
Alalte 1 1 1
Cat Cra #as 1 1 1
tr u/ #as 1 1 1
%soe/ta/e 1 13e/an#
#as A 1 1 1 1
#as 1 1 1 1
#as C 1 1 1
Marketin4 1 1 1 1 1 1 1 1
ctane
#as A 14 3 6 15
#as 16.5 2 4 17
#as C 7.5 7 13
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e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600
33 34 29 27 28 1(6&'00
7!012 0
7!012 0
13 0 0
1 14000 : 14000
1 13000 : 13000
1 14000 : 14000
1 1 11000 : 11000
13000 ; 12000
13000 ; 13000
1 12000 ; 12000
2!012 ; 0
13839.2 ; 0
4273.12 ; 0
8 2!012 ; 0
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ase 4.1 AMAR O
Allate Catalti Craed #asoli/e trait u/ #asoli/e %soe/ta
ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ a
A C A C A C A
aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 6775 0 5425 0 4780.82 6219.18 3117 5883 0 1762 990
+,ective f"nction 30 32 33 30 32 33 30 32 33 30 32
Constraints
Rei# apor )ress"re
#as A 2 1 3 13
#as 2 1 3 13
#as C 2 1 3
Availa+ility
Alalte 1 1 1
Cat Cra #as 1 1 1
tr u/ #as 1 1 1
%soe/ta/e 1 13e/an#
#as A 1 1 1 1
#as 1 1 1 1
#as C 1 1 1
Marketin4 1 1 1 1 1 1 1 1
ctane
#as A 14 3 6 15
#as 16.5 2 4 17
#as C 7.5 7 13
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e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 356 0 0 0 7892
33 34 29 27 28 166$5&6
0
4.8!008 0
2.4!009 0
13 9.1!013 0
1 12200 : 12200
1 11000 : 11000
1 9000 : 9000
1 1 11000 : 11000
11653.85 ; 12000
11653.85 ; 13000
1 12000 ; 12000
2!008 ; 0
102578.2 ; 0
2857.251 ; 0
8 6.8!012 ; 0
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NS.5)
he solution to Question 2 has 6,400barrels per day of alkylate, ero !atalyti! !ra!ked "asolinetrai"ht run
asoline, and #,600barrels per day of isopentane left o$er. Thus, additional %uantities of alkylaopentane &ill
!rease re$enues only by their $alues,'#, and '4, respe!ti$ely. This !an be seen also fro( the ri!es in *!el+s
ensiti$ity report belo&. The other t&o feedsto!ks in!rease re$enues by (ore that their $alue
e!ause the shado& pri!es are '6.4for !atalyti! !ra!ked "asoline and '#.2for strai"ht run "aso
he allo&able in!rease !olu(n "i$es the lar"est in!rease in the feedsto!k a(ounts for &hi!h thns&ers re(ain
alid-25.# barrels for !atalyti! !ra!ked "asoline and 6-4.barrels for strai"ht run "asoline . T
re no upper li(its for the other t&o feedsto!ks.
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ANS. 6)/ro( the abo$e portion of *!el+s Sensiti$ity eport, ',000(ore barrels than the (ini(uA are produ!ed
and "asoline 1 and produ!tion is e%ual to their (ini(u( de(and . Thus, &ith the e!onde!rease in the
(ini(u( de(and for "asoline A does not a3e!t the solution,
&hereas, de!reases in the (ini(u( de(ands for "asoline 1 or do a3e!t the solution. Tre$enues are "i$en by
the shado& pri!es . The shado& pri!e for a$iation "asoline 1 is 2.20 per barrel and is $ade!reases
by 456.barrels and the shado& pri!e for "asoline is 0.'0 and it is $alid until de(andbarrels
That is, ea!h barrel per day de!rease in the (ini(u( de(and for 1 and in!rease re$en
respe!ti$ely.
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ase 4.1 AMAR O
Allate Catalti Craed #asoli/e trait u/ #asoli/e %soe/ta
ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e le/ded i/
A C A C A C A
aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 2175 0 5425 0 6780.8 6219.2 8523 5477 0 2302 742
+,ective f"nction 10 11 11.5 10 11 11.5 10 11 11.5 10 11
Constraints
Rei# apor )ress"re
#as A 2 1 3 13
#as 2 1 3 13
#as C 2 1 3
Availa+ility
Alalte 1 1 1
Cat Cra #as 1 1 1
tr u/ #as 1 1 1
%soe/ta/e 1 13e/an#
#as A 1 1 1 1
#as 1 1 1 1
#as C 1 1 1
Marketin4 1 1 1 1 1 1 1 1
ctane
#as A 14 3 6 15
#as 16.5 2 4 17
#as C 7.5 7 13
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/e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600
11.5 17 14.5 13.5 14 (&(&00
7.3!012 0
5.5!012 0
13 3.6!012 0
1 14000 : 14000
1 13000 : 13000
1 14000 : 14000
1 1 11000 : 11000
13000 ; 12000
13000 ; 13000
1 12000 ; 12000
1.6!012 ; 0
13839.2 ; 0
4273.117 ; 0
8 0 ; 0
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ase 4.1 AMAR O
Allate Catalti Craed #asoli/e trait u/ #asoli/e %soe/ta
ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ a
A C A C A C A
aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 0 0 7600 3250 9750 0 8125 3250 2625 1625 0
+,ective f"nction 10 11 11.5 10 11 11.5 10 11 11.5 10 11
Constraints
Rei# apor )ress"re
#as A 2 1 3 13
#as 2 1 3 13
#as C 2 1 3
Availa+ility
Alalte 1 1 1
Cat Cra #as 1 1 1
tr u/ #as 1 1 1
%soe/ta/e 1 13e/an#
#as A 1 1 1 1
#as 1 1 1 1
#as C 1 1 1
Marketin4 1 1 1 1 1 1 1 1
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e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 1775 6400 0 0 7600
11.5 17 14.5 13.5 14 (&(&00
0 0
0 0
13 0 0
1 14000 : 14000
1 13000 : 13000
1 14000 : 14000
1 1 11000 : 11000
13000 ; 12000
13000 ; 13000
1 12000 ; 12000
0 ; 0
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ase 4.1 AMAR O
Allate Catalti Craed #asoli/e trait u/ #asoli/e %soe/ta
ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ a
A C A C A C A
aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 3133 684.21 6316 2250 6328.95 4421.05 6750 5987 1263 867 0
+,ective f"nction 15 16 16.5 15 16 16.5 15 16 16.5 15 16
Constraints
Rei# apor )ress"re
#as A 1 2 2 14
#as 1 2 2 14
#as C 1 2 2
Availa+ility
Alalte 1 1 1
Cat Cra #as 1 1 1
tr u/ #as 1 1 1
%soe/ta/e 1 13e/an#
#as A 1 1 1 1
#as 1 1 1 1
#as C 1 1 1
Marketin4 1 1 1 1 1 1 1 1
ctane
#as A 14 3 6 15
#as 16.5 2 4 17
#as C 7.5 7 13
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e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 0 3867 0 0 10133
16.5 17 14.5 13.5 14 808(00
7!012 0
4!012 0
14 3!012 0
1 14000 : 14000
1 13000 : 13000
1 14000 : 14000
1 1 11000 : 11000
13000 ; 12000
13000 ; 13000
1 12000 ; 12000
0 ; 0
23116.67 ; 0
7!012 ; 0
8 7!012 ; 0
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ase 4.1 AMAR O
Allate Catalti Craed #asoli/etrait u/ #asoli/e %soe/ta
ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ asoli/e ble/ded i/ a
A C A C A C A
aria+les X11 X12 X13 X21 X22 X23 X31 X32 X33 X41 X42al"es of aria+les 2175 0 5425 0 6780.8 6219.2 8523 5477 0 2302 742
+,ective f"nction 15 16 16.5 15 16 16.5 15 16 16.5 15 16
Constraints
Rei# apor )ress"re
#as A 2 1 3 13
#as 2 1 3 13
#as C 2 1 3
Availa+ility
Alalte 1 1 1
Cat Cra #as 1 1 1
tr u/ #as 1 1 1
%soe/ta/e 1 13e/an#
#as A 1 1 1 1
#as 1 1 1 1
#as C 1 1 1
Marketin4 1 1 1 1 1 1 1 1
ctane
#as A 14 3 6 15
#as 16.5 2 4 17
#as C 7.5 7 13
*e< )'= o/strai/t
1 1 1 1 1 1 1 1 1 1 1
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e
soli/e "eedsto
C /ot ble/ded i/ asoli/e
X43 X1 X2 X3 X4 ( i/ 356 6400 0 0 7600
16.5 17 14.5 13.5 14 81(&00
7.3!012 0
3.6!012 0
13 8.2!012 0
1 14000 : 14000
1 13000 : 13000
1 14000 : 14000
1 1 11000 : 11000
13000 ; 12000
13000 ; 13000
1 12000 ; 12000
2!012 ; 0
13839.21 ; 0
4273.116 ; 0
8 3.6!011 ; 0
1 14000 ; 0