An animal food must provide 60 units of vitamins and 65 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 45 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 6¢, a gram of meat byproducts 9¢, and a gram of grain 10e. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? X2 2.5 1 6 4.5 0. 9 10 /1 10 - 60 - 65 There is more than one optimal basic solution to this problem. The answer depends on whether the tie in the minimum ratio rule is broken by pivoting on the second row or third row of the dual. When pivoting on the second row of the dual, the mixture would contain 0 grams of soybean meal, grams of meat byproducts, and grams of grain. When pivoting on the third row of the dual, the mixture would contain grams of soybean meal, grams of meat byproducts, and grams of grain.
An animal food must provide 60 units of vitamins and 65 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 45 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 6¢, a gram of meat byproducts 9¢, and a gram of grain 10e. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? X2 2.5 1 6 4.5 0. 9 10 /1 10 - 60 - 65 There is more than one optimal basic solution to this problem. The answer depends on whether the tie in the minimum ratio rule is broken by pivoting on the second row or third row of the dual. When pivoting on the second row of the dual, the mixture would contain 0 grams of soybean meal, grams of meat byproducts, and grams of grain. When pivoting on the third row of the dual, the mixture would contain grams of soybean meal, grams of meat byproducts, and grams of grain.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:An animal food must provide 60 units of vitamins and 65 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides
45 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 6¢, a gram of meat byproducts 9¢, and a gram of grain 10¢.
(a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost?
X4
X2
S2
S3
2.5
1
6
4.5
3
9
10
1
10
- 60
- 65
1
There is more than one optimal basic solution to this problem. The answer depends on whether the tie in the minimum ratio rule is broken by pivoting on the second row or third row of the
dual.
grams of meat byproducts, and
grams of grain. When pivoting on the third row of
When pivoting on the second row of the dual, the mixture would contain 0 grams of soybean meal,
the dual, the mixture would contain
grams of soybean meal,
grams of meat byproducts, and
grams of grain.
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