The source code and dockerfile for the GSW2024 AI Lab.
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*NAME: ICECREAM
*ROWS: 17
*COLUMNS: 27
*NONZERO: 264
*OPT SOLN: 962.8214691
*SOURCE: Linear Programming--Ice Cream Blending
* Data Processing Application. N.Y.: IBM Corp.
*APPLICATION: Ice Cream Blending
*COMMENTS: fixed MPS format
* encoded by Andrew Makhorin <mao@gnu.org>
*
NAME ICECREAM
ROWS
N COST $ Minimum cost $
G MIN.BF $ Butterfat lbs
L MAX.BF
G MIN.MSNF $ Milk solids (nonfat) lbs
L MAX.MSNF
G MIN.TMS $ Total milk solids lbs
L MAX.TMS
G MIN.SUG $ Sweetness lbs
L MAX.SUG
L CSS $ Corn syrup solids lbs
G MIN.TS $ Total solids lbs
L MAX.TS
G MIN.H2O $ Water lbs
L MAX.H2O
E STAB $ Stabilizer lbs
E EMUL $ Emulsifier lbs
E YIELD $ Amount to be made lbs
COLUMNS
* Cream (40%)
I1 COST 27.9
MIN.BF .40
MAX.BF .40
MIN.MSNF .054
MAX.MSNF .054
MIN.TMS .454
MAX.TMS .454
MIN.TS .454
MAX.TS .454
MIN.H2O .546
MAX.H2O .546
YIELD 1
* Cream (38%)
I2 COST 26.3
MIN.BF .38
MAX.BF .38
MIN.MSNF .056
MAX.MSNF .056
MIN.TMS .436
MAX.TMS .436
MIN.TS .436
MAX.TS .436
MIN.H2O .564
MAX.H2O .564
YIELD 1
* Milk (3.2%)
I3 COST 3.2
MIN.BF .032
MAX.BF .032
MIN.MSNF .087
MAX.MSNF .087
MIN.TMS .119
MAX.TMS .119
MIN.TS .119
MAX.TS .119
MIN.H2O .881
MAX.H2O .881
YIELD 1
* Milk (3.4%)
I4 COST 3.2
MIN.BF .034
MAX.BF .034
MIN.MSNF .087
MAX.MSNF .087
MIN.TMS .121
MAX.TMS .121
MIN.TS .121
MAX.TS .121
MIN.H2O .879
MAX.H2O .879
YIELD 1
* Milk (3.5%)
I5 COST 3.3
MIN.BF .035
MAX.BF .035
MIN.MSNF .087
MAX.MSNF .087
MIN.TMS .122
MAX.TMS .122
MIN.TS .122
MAX.TS .122
MIN.H2O .879
MAX.H2O .879
YIELD 1
* Milk (3.6%)
I6 COST 3.3
MIN.BF .036
MAX.BF .036
MIN.MSNF .087
MAX.MSNF .087
MIN.TMS .123
MAX.TMS .123
MIN.TS .123
MAX.TS .123
MIN.H2O .877
MAX.H2O .877
YIELD 1
* Milk (3.7%)
I7 COST 3.4
MIN.BF .037
MAX.BF .037
MIN.MSNF .087
MAX.MSNF .087
MIN.TMS .124
MAX.TMS .124
MIN.TS .124
MAX.TS .124
MIN.H2O .876
MAX.H2O .876
YIELD 1
* Milk (3.8%)
I8 COST 3.5
MIN.BF .038
MAX.BF .038
MIN.MSNF .087
MAX.MSNF .087
MIN.TMS .125
MAX.TMS .125
MIN.TS .125
MAX.TS .125
MIN.H2O .875
MAX.H2O .875
YIELD 1
* Milk (3.9%)
I9 COST 3.5
MIN.BF .039
MAX.BF .039
MIN.MSNF .086
MAX.MSNF .086
MIN.TMS .125
MAX.TMS .125
MIN.TS .125
MAX.TS .125
MIN.H2O .875
MAX.H2O .875
YIELD 1
* Milk (4.0%)
I10 COST 3.6
MIN.BF .040
MAX.BF .040
MIN.MSNF .086
MAX.MSNF .086
MIN.TMS .126
MAX.TMS .126
MIN.TS .126
MAX.TS .126
MIN.H2O .874
MAX.H2O .874
YIELD 1
* Milk (4.2%)
I11 COST 3.7
MIN.BF .042
MAX.BF .042
MIN.MSNF .086
MAX.MSNF .086
MIN.TMS .128
MAX.TMS .128
MIN.TS .128
MAX.TS .128
MIN.H2O .872
MAX.H2O .872
YIELD 1
* Skim Milk
I12 COST 1.8
MIN.MSNF .09
MAX.MSNF .09
MIN.TMS .09
MAX.TMS .09
MIN.TS .09
MAX.TS .09
MIN.H2O .91
MAX.H2O .91
YIELD 1
* Condensed Whole Milk
I13 COST 7.6
MIN.BF .08
MAX.BF .08
MIN.MSNF .2
MAX.MSNF .2
MIN.TMS .28
MAX.TMS .28
MIN.TS .28
MAX.TS .28
MIN.H2O .72
MAX.H2O .72
YIELD 1
* Condensed Skim Milk (28%)
I14 COST 3.9
MIN.MSNF .28
MAX.MSNF .28
MIN.TMS .28
MAX.TMS .28
MIN.TS .28
MAX.TS .28
MIN.H2O .72
MAX.H2O .72
YIELD 1
* Condensed Skim Milk (30%)
I15 COST 4.9
MIN.MSNF .3
MAX.MSNF .3
MIN.TMS .3
MAX.TMS .3
MIN.TS .3
MAX.TS .3
MIN.H2O .7
MAX.H2O .7
YIELD 1
* Condensed Skim Milk (32%)
I16 COST 4.5
MIN.MSNF .32
MAX.MSNF .32
MIN.TMS .32
MAX.TMS .32
MIN.TS .32
MAX.TS .32
MIN.H2O .68
MAX.H2O .68
YIELD 1
* Dry Skim Milk
I17 COST 14.8
MIN.BF .01
MAX.BF .01
MIN.MSNF .96
MAX.MSNF .96
MIN.TMS .97
MAX.TMS .97
MIN.TS .97
MAX.TS .97
MIN.H2O .03
MAX.H2O .03
YIELD 1
* Dry Buttermilk
I18 COST 15.0
MIN.BF .05
MAX.BF .05
MIN.MSNF .92
MAX.MSNF .92
MIN.TMS .97
MAX.TMS .97
MIN.TS .97
MAX.TS .97
MIN.H2O .03
MAX.H2O .03
YIELD 1
* Dry Whey Solids
I19 COST 10.7
MIN.MSNF .95
MAX.MSNF .95
MIN.TMS .95
MAX.TMS .95
MIN.TS .95
MAX.TS .95
MIN.H2O .05
MAX.H2O .05
YIELD 1
* Dry Sucrose
I20 COST 10.2
MIN.SUG 1.0
MAX.SUG 1.0
MIN.TS 1.0
MAX.TS 1.0
YIELD 1
* Cane Syrup
I21 COST 9.9
MIN.SUG .67
MAX.SUG .67
MIN.TS .67
MAX.TS .67
MIN.H2O .33
MAX.H2O .33
YIELD 1
* Corn Sgr. Solids (50% Sweetness)
I22 COST 7.0
MIN.SUG .5
MAX.SUG .5
CSS 1.0
MIN.TS 1.0
MAX.TS 1.0
YIELD 1
* Corn Sgr. Solids (45% Sweetness)
I23 COST 9.0
MIN.SUG .45
MAX.SUG .45
CSS 1.0
MIN.TS 1.0
MAX.TS 1.0
YIELD 1
* Corn Syrup
I24 COST 6.6
MIN.SUG .4
MAX.SUG .4
CSS .8
MIN.TS .8
MAX.TS .8
MIN.H2O .2
MAX.H2O .2
YIELD 1
* Stabilizer
I25 COST 55.0
STAB 1.0
YIELD 1
* Emulsifier
I26 COST 78.0
EMUL 1.0
YIELD 1
* Water
I27 COST 0
MIN.H2O 1.0
MAX.H2O 1.0
YIELD 1
RHS
MIN.BF 10
MAX.BF 16
MIN.MSNF 10.5
MAX.MSNF 13
MIN.TMS 20.5
MAX.TMS 25
MIN.SUG 11
MAX.SUG 17
CSS 6
MIN.TS 37.5
MAX.TS 41.5
MIN.H2O 58.5
MAX.H2O 62.5
STAB .37
EMUL .01
YIELD 100
BOUNDS
UP I1 10
LO I6 40
UP I19 4
ENDATA