An animal food must provide 54 units of vitamins and 58 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 8 cents, a gram of meat byproducts 9 cents, and a gram of grain 10 cents. Complete parts (a) and (b) below. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? First, set up the initial tableau for the dual maximum problem. Fill in the missing entries. X1 X2 S1 S2 S3 2.5 5 1 4.5 3 0 10 1 10 1

An animal food must provide 54 units of vitamins and 58 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 8 cents, a gram of meat byproducts 9 cents, and a gram of grain 10 cents. Complete parts (a) and (b) below. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? First, set up the initial tableau for the dual maximum problem. Fill in the missing entries. X1 X2 S1 S2 S3 2.5 5 1 4.5 3 0 10 1 10 1

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

An animal food must provide 54 units of vitamins and 58 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat
byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 8 cents, a gram of
meat byproducts 9 cents, and a gram of grain 10 cents. Complete parts (a) and (b) below.
(a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost?
First, set up the initial tableau for the dual maximum problem. Fill in the missing entries.
X1
X2
S1
S2
S3
2.5
5
1
4.5
3
1
10
1
10
0 0 0 1|

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