A farming cooperative mixes two brands of cattle feed. Brand X costs $30 per bag, and brand Y costs $25 per bag. Research and available resources determined the constraints below. 1. Brand X contains two units of nutritional element A, two units of element B, and two units of element C. 2. Brand Y contains one unit of nutritional element A, nine units of element B, and three units of element C. 3. The minimum requirements for nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. What is the optimal number of bags of each brand that should be mixed? What is the optimal cost? Brand X = Brand Y = Optimal Cost =
A farming cooperative mixes two brands of cattle feed. Brand X costs $30 per bag, and brand Y costs $25 per bag. Research and available resources determined the constraints below. 1. Brand X contains two units of nutritional element A, two units of element B, and two units of element C. 2. Brand Y contains one unit of nutritional element A, nine units of element B, and three units of element C. 3. The minimum requirements for nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. What is the optimal number of bags of each brand that should be mixed? What is the optimal cost? Brand X = Brand Y = Optimal Cost =
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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Transcribed Image Text:A farming cooperative mixes two brands of cattle feed. Brand X costs $30 per bag, and brand Y costs $25
per bag. Research and available resources determined the constraints below.
1. Brand X contains two units of nutritional element A, two units of element B, and two units of element C.
2. Brand Y contains one unit of nutritional element A, nine units of element B, and three units of element
C.
3. The minimum requirements for nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively.
What is the optimal number of bags of each brand that should be mixed? What is the optimal cost?
Brand X =
Brand Y =
Optimal Cost =
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