Solved

A Grain Store Has Six Types of Grain, Each Varying

Question 26

Essay

A grain store has six types of grain, each varying in cost, quality, and nutritional content. Periodically, excess inventory of these grains are consolidated into two local products, Feed-M-All and Supreme-Feed. Feed-M-All sells for $6.50 for a 10-pound bag while Supreme-Feed sells for $8.50 for a 10-pound bag. These feeds are advertised as having the following nutritional content:
A grain store has six types of grain, each varying in cost, quality, and nutritional content. Periodically, excess inventory of these grains are consolidated into two local products, Feed-M-All and Supreme-Feed. Feed-M-All sells for $6.50 for a 10-pound bag while Supreme-Feed sells for $8.50 for a 10-pound bag. These feeds are advertised as having the following nutritional content:     The component grains have the following content characteristics:     \Targets for Feed-M-All are a cost of $ 4.35 per 10-pound bag, a quality rating of 2.25, along with the minimum percentages of protein and fat, and the maximum percentage of carbohydrates. Similar targets are set for Supreme-Feed with cost set at $ 4.60 and quality at 2.45. There must be at least a 70%-30% mix among these two local feeds. Formulate an LP model for this product mix problem.
The component grains have the following content characteristics:
A grain store has six types of grain, each varying in cost, quality, and nutritional content. Periodically, excess inventory of these grains are consolidated into two local products, Feed-M-All and Supreme-Feed. Feed-M-All sells for $6.50 for a 10-pound bag while Supreme-Feed sells for $8.50 for a 10-pound bag. These feeds are advertised as having the following nutritional content:     The component grains have the following content characteristics:     \Targets for Feed-M-All are a cost of $ 4.35 per 10-pound bag, a quality rating of 2.25, along with the minimum percentages of protein and fat, and the maximum percentage of carbohydrates. Similar targets are set for Supreme-Feed with cost set at $ 4.60 and quality at 2.45. There must be at least a 70%-30% mix among these two local feeds. Formulate an LP model for this product mix problem.
\Targets for Feed-M-All are a cost of $ 4.35 per 10-pound bag, a quality rating of 2.25, along with the minimum percentages of protein and fat, and the maximum percentage of carbohydrates. Similar targets are set for Supreme-Feed with cost set at $ 4.60 and quality at 2.45. There must be at least a 70%-30% mix among these two local feeds.
Formulate an LP model for this product mix problem.

Correct Answer:

verifed

Verified

Let
Xij = amount of grain i in feed j wher...

View Answer

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions