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 z 2.5 1 8 4.5 3 1 ol 10 1 0 10 - 54 - 58 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. When pivoting on the second row of the dual, the mixture would contain grams of soybean meal, on the third row of the dual, the mixture would contain grams of soybean meal, grams of meat byproducts, and grams of grain. When pivoting grams of meat byproducts, and grams of grain. (Round to one decimal place as needed.)

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 z 2.5 1 8 4.5 3 1 ol 10 1 0 10 - 54 - 58 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. When pivoting on the second row of the dual, the mixture would contain grams of soybean meal, on the third row of the dual, the mixture would contain grams of soybean meal, grams of meat byproducts, and grams of grain. When pivoting grams of meat byproducts, and grams of grain. (Round to one decimal place as needed.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 57SE: Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and...

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