.. . .. . .
4 5 6 7 8 米糠 豆饼 菜子饼 鱼粉 槐叶粉 DL-蛋0.22 0.37 0.32 1.54 0.38 2.10 2.40 1.62 2.80 1.61 117 402 360 450 170 72 49 113 108 6.5 24.1 8.1 29.1 10.6 2.7 5.1 7.1 11.8 2.2 1.0 3.2 5.3 63 4 13 5 8.4 27 4 9 氨酸 10 11 12 骨粉 碳酸钙 食盐 23 980 0.56 1.12 0.42 300 400 140 1000 公司根据原料来源,还要求1吨混合饲料中原料含量为：玉米不低于400kg、小麦不低于100kg、麦麸不低于100kg、米糠不超过150kg、豆饼不超过100kg、菜子饼不低于30kg、鱼粉不低于50kg、槐叶粉不低于30kg,DL-蛋氨酸、骨粉、碳酸钙适量. （1）按照肉用种鸡公司标准,求1kg混合饲料中每种原料各配多少,成本最低,建立数学模型并求解.
（2）按照肉用种鸡国家标准,求1kg混合饲料中每种原料各配多少, 成本最低. （3）公司采购了一批花生饼,单价是0.6元/kg,代能到有机磷的含量分别为（2.4,38,120,0,0.92,0.15,0.17）,求肉用种鸡成本最低的配料方案. （4）求产蛋鸡的最优饲料配方方案.
（5）公司考虑到未来鱼粉、骨粉和碳酸钙将要涨价,米糠将要降价,价格变化率都是原价的 ,试对两种产品配方方案进行灵敏度分析. 2建模分析
设公司计划使用的原料有玉米、小麦、麦麸、米糠、豆饼、菜子饼、鱼粉、槐叶粉、DL-蛋氨酸、骨粉、碳酸钙和食盐的用量分别为xj,j?1,2,?,12，若将相应的原料单价分别用cj,j?1,2,?,12，来表示，则其总成本可以用下面的线性函数来表示
S. . . . . ..
.. . .. . .
即
z??cjxj.
j?162.1问题（1）模型
根据问题（1）所给数据及问题要求可列出约束条件，所以可建立混合饲料配料计划的数学模型如下：
minz?0.68x1?0.72x2?0.23x3?0.22x4?0.37x5?0.32x6?1.54x7?0.38x8?23x9?0.56x10?1.12x11?0.42x12?3.35x1?3.08x2?1.78x3?2.10x4?2.40x5?1.62x6?2.80x7?1.61x8?2.7??3.35x1?3.08x2?1.78x3?2.10x4?2.40x5?1.62x6?2.80x7?1.61x8?135?78x1?114x2?142x3?117x4?402x5?360x6?450x7?170x8?145??16x1?22x2?95x3?72x4?49x5?113x6?108x8?45?2.3x?3.4x?6.0x?6.5x?24.1x?8.1x?29.1x?10.6x?5.612345678??1.2x1?1.7x2?2.3x3?2.7x4?5.1x5?7.1x6?11.8x7?2.2x8?980x9?2.6??0.7x1?0.6x2?0.3x3?1.0x4?3.2x5?5.3x6?63x7?4x8?300x10?400x11?30?0.3x1?0.34x2?10x3?13x4?5x5?8.4x6?27x7?4x8?140x10?5??1000x12?3.7?x?x?x?x?x?x?x?x?x?x?x?x?19101112?12345678?x1?0.4,x2?0.1,x3?0.1??x4?0.15?x5?0.1? ?x6?0.03?x?0.05?7?x8?0.03??xj?0,(j?1,2,...,12)根据问题（2）所给数据及问题要求可列出约束条件，所以可建立混合饲料配料计划的数学模型如下：
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.. . .. . .
minz?0.68x1?0.72x2?0.23x3?0.22x4?0.37x5?0.32x6?1.54x7?0.38x8?23x9?0.56x10?1.12x11?0.42x12?3.35x1?3.08x2?1.78x3?2.10x4?2.40x5?1.62x6?2.80x7?1.61x8?2.7?3.35x?3.08x?1.78x?2.10x?2.40x?1.62x?2.80x?1.61x?2.812345678??78x1?114x2?142x3?117x4?402x5?360x6?450x7?170x8?135??78x1?114x2?142x3?117x4?402x5?360x6?450x7?170x8?145?16x?22x?95x?72x?49x?113x?108x?50234568?1?2.3x1?3.4x2?6.0x3?6.5x4?24.1x5?8.1x6?29.1x7?10.6x8?5.6?1.2x?1.7x?2.3x?2.7x?5.1x?7.1x?11.8x?2.2x?980x?2.5123456789??0.7x1?0.6x2?0.3x3?1.0x4?3.2x5?5.3x6?63x7?4x8?300x10?400x11?20??0.7x1?0.6x2?0.3x3?1.0x4?3.2x5?5.3x6?63x7?4x8?300x10?400x11?40?0.3x1?0.34x2?10x3?13x4?5x5?8.4x6?27x7?4x8?140x10?4.6??0.3x1?0.34x2?10x3?13x4?5x5?8.4x6?27x7?4x8?140x10?6.5??1000x12?3.7?x1?x2?x3?x4?x5?x6?x7?x8?x9?x10?x11?x12?1??x1?0.4?x?0.1?2?x3?0.1?x?0.15?4 ?x5?0.1??x6?0.03?x7?0.05??x8?0.03?x?0,?j?1,2,...,12??j根据问题（3）所给数据及问题要求按照肉用种鸡公司标准可列出约束条件，所以可建立混合饲料配料计划的数学模型如下：
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.. . .. . .
minz?0.68x1?0.72x2?0.23x3?0.22x4?0.37x5?0.32x6?1.54x7?0.38x8?23x9?0.56x10?1.12x11?0.42x12?0.6x13?3.35x1?3.08x2?1.78x3?2.10x4?2.40x5?1.62x6?2.80x7?1.61x8?2.4x13?2.7?78x?114x?142x?117x?402x?360x?450x?170x?38x?135138765432?1?78x1?114x2?142x3?117x4?402x5?360x6?450x7?170x8?38x13?145??16x1?22x2?95x3?72x4?49x5?113x6?108x8?120x13?45?2.3x?3.4x?6.0x?6.5x?24.1x?8.1x?29.1x?10.6x?5.687654321??1.2x1?1.7x2?2.3x3?2.7x4?5.1x5?7.1x6?11.8x7?2.2x8?980x9?0.92x13?2.6?0.7x?0.6x?0.3x?1.0x?3.2x?5.3x?63x?4x?300x?400x?0.15x?301311108654321??0.3x1?0.34x2?10x3?13x4?5x5?8.4x6?27x7?4x8?140x10?0.17x13?5??1000x12?3.7??x1?x2?x3?x4?x5?x6?x7?x8?x9?x10?x11?x12?x13?1?x?0.4?1?x2?0.1??x3?0.1?x4?0.15??x5?0.1?x?0.03?6 ?x7?0.05?x?0.03?8?xj?0,?j?1,2,...,13??根据问题（3）所给数据及问题要求按照肉用种鸡国家标准可列出约束条件，所以可建立混合饲料配料计划的数学模型如下：
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.. . .. . .
minz?0.68x1?0.72x2?0.23x3?0.22x4?0.37x5?0.32x6?1.54x7?0.38x8?23x9?0.56x10?1.12x11?0.42x12?0.6x13?3.35x1?3.08x2?1.78x3?2.10x4?2.40x5?1.62x6?2.80x7?1.61x8?2.4x13?2.7?3.35x?3.08x?1.78x?2.10x?2.40x?1.62x?2.80x?1.61x?2.4x?2.81234567813??78x1?114x2?142x3?117x4?402x5?360x6?450x7?170x8?38x13?135??78x1?114x2?142x3?117x4?402x5?360x6?450x7?170x8?38x13?145?16x?22x?95x?72x?49x?113x?108x?120x?5023456813?1?2.3x1?3.4x2?6.0x3?6.5x4?24.1x5?8.1x6?29.1x7?10.6x8?5?1.2x?1.7x?2.3x?2.7x?5.1x?7.1x?11.8x?2.2x?980x?0.92x?2.512345678913??0.7x1?0.6x2?0.3x3?1.0x4?3.2x5?5.3x6?63x7?4x8?300x10?400x11?0.15x13?20??0.7x1?0.6x2?0.3x3?1.0x4?3.2x5?5.3x6?63x7?4x8?300x10?400x11?0.15x13?40?0.3x1?0.34x2?10x3?13x4?5x5?8.4x6?27x7?4x8?140x10?0.17x13???0.3x1?0.34x2?10x3?13x4?5x5?8.4x6?27x7?4x8?140x10?0.17x13?6.5??1000x12?3.7?x1?x2?x3?x4?x5?x6?x7?x8?x9?x10?x11?x12?x13?1??x1?0.4?x?0.1?2?x3?0.1?x?0.15?4 ?x5?0.1??x6?0.03?x7?0.05??x8?0.03?x?0,?j?1,2,...,13??j根据问题（4）所给数据及问题要求产蛋鸡的标准可列出约束条件，所以可建立混合饲料配料计划的数学模型如下；
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某饲料公司生产鸡混合饲料配料
