The source code and dockerfile for the GSW2024 AI Lab.
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  1. *NAME: ICECREAM
  2. *ROWS: 17
  3. *COLUMNS: 27
  4. *NONZERO: 264
  5. *OPT SOLN: 962.8214691
  6. *SOURCE: Linear Programming--Ice Cream Blending
  7. * Data Processing Application. N.Y.: IBM Corp.
  8. *APPLICATION: Ice Cream Blending
  9. *COMMENTS: fixed MPS format
  10. * encoded by Andrew Makhorin <mao@gnu.org>
  11. *
  12. NAME ICECREAM
  13. ROWS
  14. N COST $ Minimum cost $
  15. G MIN.BF $ Butterfat lbs
  16. L MAX.BF
  17. G MIN.MSNF $ Milk solids (nonfat) lbs
  18. L MAX.MSNF
  19. G MIN.TMS $ Total milk solids lbs
  20. L MAX.TMS
  21. G MIN.SUG $ Sweetness lbs
  22. L MAX.SUG
  23. L CSS $ Corn syrup solids lbs
  24. G MIN.TS $ Total solids lbs
  25. L MAX.TS
  26. G MIN.H2O $ Water lbs
  27. L MAX.H2O
  28. E STAB $ Stabilizer lbs
  29. E EMUL $ Emulsifier lbs
  30. E YIELD $ Amount to be made lbs
  31. COLUMNS
  32. * Cream (40%)
  33. I1 COST 27.9
  34. MIN.BF .40
  35. MAX.BF .40
  36. MIN.MSNF .054
  37. MAX.MSNF .054
  38. MIN.TMS .454
  39. MAX.TMS .454
  40. MIN.TS .454
  41. MAX.TS .454
  42. MIN.H2O .546
  43. MAX.H2O .546
  44. YIELD 1
  45. * Cream (38%)
  46. I2 COST 26.3
  47. MIN.BF .38
  48. MAX.BF .38
  49. MIN.MSNF .056
  50. MAX.MSNF .056
  51. MIN.TMS .436
  52. MAX.TMS .436
  53. MIN.TS .436
  54. MAX.TS .436
  55. MIN.H2O .564
  56. MAX.H2O .564
  57. YIELD 1
  58. * Milk (3.2%)
  59. I3 COST 3.2
  60. MIN.BF .032
  61. MAX.BF .032
  62. MIN.MSNF .087
  63. MAX.MSNF .087
  64. MIN.TMS .119
  65. MAX.TMS .119
  66. MIN.TS .119
  67. MAX.TS .119
  68. MIN.H2O .881
  69. MAX.H2O .881
  70. YIELD 1
  71. * Milk (3.4%)
  72. I4 COST 3.2
  73. MIN.BF .034
  74. MAX.BF .034
  75. MIN.MSNF .087
  76. MAX.MSNF .087
  77. MIN.TMS .121
  78. MAX.TMS .121
  79. MIN.TS .121
  80. MAX.TS .121
  81. MIN.H2O .879
  82. MAX.H2O .879
  83. YIELD 1
  84. * Milk (3.5%)
  85. I5 COST 3.3
  86. MIN.BF .035
  87. MAX.BF .035
  88. MIN.MSNF .087
  89. MAX.MSNF .087
  90. MIN.TMS .122
  91. MAX.TMS .122
  92. MIN.TS .122
  93. MAX.TS .122
  94. MIN.H2O .879
  95. MAX.H2O .879
  96. YIELD 1
  97. * Milk (3.6%)
  98. I6 COST 3.3
  99. MIN.BF .036
  100. MAX.BF .036
  101. MIN.MSNF .087
  102. MAX.MSNF .087
  103. MIN.TMS .123
  104. MAX.TMS .123
  105. MIN.TS .123
  106. MAX.TS .123
  107. MIN.H2O .877
  108. MAX.H2O .877
  109. YIELD 1
  110. * Milk (3.7%)
  111. I7 COST 3.4
  112. MIN.BF .037
  113. MAX.BF .037
  114. MIN.MSNF .087
  115. MAX.MSNF .087
  116. MIN.TMS .124
  117. MAX.TMS .124
  118. MIN.TS .124
  119. MAX.TS .124
  120. MIN.H2O .876
  121. MAX.H2O .876
  122. YIELD 1
  123. * Milk (3.8%)
  124. I8 COST 3.5
  125. MIN.BF .038
  126. MAX.BF .038
  127. MIN.MSNF .087
  128. MAX.MSNF .087
  129. MIN.TMS .125
  130. MAX.TMS .125
  131. MIN.TS .125
  132. MAX.TS .125
  133. MIN.H2O .875
  134. MAX.H2O .875
  135. YIELD 1
  136. * Milk (3.9%)
  137. I9 COST 3.5
  138. MIN.BF .039
  139. MAX.BF .039
  140. MIN.MSNF .086
  141. MAX.MSNF .086
  142. MIN.TMS .125
  143. MAX.TMS .125
  144. MIN.TS .125
  145. MAX.TS .125
  146. MIN.H2O .875
  147. MAX.H2O .875
  148. YIELD 1
  149. * Milk (4.0%)
  150. I10 COST 3.6
  151. MIN.BF .040
  152. MAX.BF .040
  153. MIN.MSNF .086
  154. MAX.MSNF .086
  155. MIN.TMS .126
  156. MAX.TMS .126
  157. MIN.TS .126
  158. MAX.TS .126
  159. MIN.H2O .874
  160. MAX.H2O .874
  161. YIELD 1
  162. * Milk (4.2%)
  163. I11 COST 3.7
  164. MIN.BF .042
  165. MAX.BF .042
  166. MIN.MSNF .086
  167. MAX.MSNF .086
  168. MIN.TMS .128
  169. MAX.TMS .128
  170. MIN.TS .128
  171. MAX.TS .128
  172. MIN.H2O .872
  173. MAX.H2O .872
  174. YIELD 1
  175. * Skim Milk
  176. I12 COST 1.8
  177. MIN.MSNF .09
  178. MAX.MSNF .09
  179. MIN.TMS .09
  180. MAX.TMS .09
  181. MIN.TS .09
  182. MAX.TS .09
  183. MIN.H2O .91
  184. MAX.H2O .91
  185. YIELD 1
  186. * Condensed Whole Milk
  187. I13 COST 7.6
  188. MIN.BF .08
  189. MAX.BF .08
  190. MIN.MSNF .2
  191. MAX.MSNF .2
  192. MIN.TMS .28
  193. MAX.TMS .28
  194. MIN.TS .28
  195. MAX.TS .28
  196. MIN.H2O .72
  197. MAX.H2O .72
  198. YIELD 1
  199. * Condensed Skim Milk (28%)
  200. I14 COST 3.9
  201. MIN.MSNF .28
  202. MAX.MSNF .28
  203. MIN.TMS .28
  204. MAX.TMS .28
  205. MIN.TS .28
  206. MAX.TS .28
  207. MIN.H2O .72
  208. MAX.H2O .72
  209. YIELD 1
  210. * Condensed Skim Milk (30%)
  211. I15 COST 4.9
  212. MIN.MSNF .3
  213. MAX.MSNF .3
  214. MIN.TMS .3
  215. MAX.TMS .3
  216. MIN.TS .3
  217. MAX.TS .3
  218. MIN.H2O .7
  219. MAX.H2O .7
  220. YIELD 1
  221. * Condensed Skim Milk (32%)
  222. I16 COST 4.5
  223. MIN.MSNF .32
  224. MAX.MSNF .32
  225. MIN.TMS .32
  226. MAX.TMS .32
  227. MIN.TS .32
  228. MAX.TS .32
  229. MIN.H2O .68
  230. MAX.H2O .68
  231. YIELD 1
  232. * Dry Skim Milk
  233. I17 COST 14.8
  234. MIN.BF .01
  235. MAX.BF .01
  236. MIN.MSNF .96
  237. MAX.MSNF .96
  238. MIN.TMS .97
  239. MAX.TMS .97
  240. MIN.TS .97
  241. MAX.TS .97
  242. MIN.H2O .03
  243. MAX.H2O .03
  244. YIELD 1
  245. * Dry Buttermilk
  246. I18 COST 15.0
  247. MIN.BF .05
  248. MAX.BF .05
  249. MIN.MSNF .92
  250. MAX.MSNF .92
  251. MIN.TMS .97
  252. MAX.TMS .97
  253. MIN.TS .97
  254. MAX.TS .97
  255. MIN.H2O .03
  256. MAX.H2O .03
  257. YIELD 1
  258. * Dry Whey Solids
  259. I19 COST 10.7
  260. MIN.MSNF .95
  261. MAX.MSNF .95
  262. MIN.TMS .95
  263. MAX.TMS .95
  264. MIN.TS .95
  265. MAX.TS .95
  266. MIN.H2O .05
  267. MAX.H2O .05
  268. YIELD 1
  269. * Dry Sucrose
  270. I20 COST 10.2
  271. MIN.SUG 1.0
  272. MAX.SUG 1.0
  273. MIN.TS 1.0
  274. MAX.TS 1.0
  275. YIELD 1
  276. * Cane Syrup
  277. I21 COST 9.9
  278. MIN.SUG .67
  279. MAX.SUG .67
  280. MIN.TS .67
  281. MAX.TS .67
  282. MIN.H2O .33
  283. MAX.H2O .33
  284. YIELD 1
  285. * Corn Sgr. Solids (50% Sweetness)
  286. I22 COST 7.0
  287. MIN.SUG .5
  288. MAX.SUG .5
  289. CSS 1.0
  290. MIN.TS 1.0
  291. MAX.TS 1.0
  292. YIELD 1
  293. * Corn Sgr. Solids (45% Sweetness)
  294. I23 COST 9.0
  295. MIN.SUG .45
  296. MAX.SUG .45
  297. CSS 1.0
  298. MIN.TS 1.0
  299. MAX.TS 1.0
  300. YIELD 1
  301. * Corn Syrup
  302. I24 COST 6.6
  303. MIN.SUG .4
  304. MAX.SUG .4
  305. CSS .8
  306. MIN.TS .8
  307. MAX.TS .8
  308. MIN.H2O .2
  309. MAX.H2O .2
  310. YIELD 1
  311. * Stabilizer
  312. I25 COST 55.0
  313. STAB 1.0
  314. YIELD 1
  315. * Emulsifier
  316. I26 COST 78.0
  317. EMUL 1.0
  318. YIELD 1
  319. * Water
  320. I27 COST 0
  321. MIN.H2O 1.0
  322. MAX.H2O 1.0
  323. YIELD 1
  324. RHS
  325. MIN.BF 10
  326. MAX.BF 16
  327. MIN.MSNF 10.5
  328. MAX.MSNF 13
  329. MIN.TMS 20.5
  330. MAX.TMS 25
  331. MIN.SUG 11
  332. MAX.SUG 17
  333. CSS 6
  334. MIN.TS 37.5
  335. MAX.TS 41.5
  336. MIN.H2O 58.5
  337. MAX.H2O 62.5
  338. STAB .37
  339. EMUL .01
  340. YIELD 100
  341. BOUNDS
  342. UP I1 10
  343. LO I6 40
  344. UP I19 4
  345. ENDATA