# SOLUTION: A farmer cooperative mixes two brands of cattle feed. Brand x cost \$25 per bag and contains 2 units of nutritional element A, 2 units of element B, and 2 units of element C. Brand

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 Click here to see ALL problems on Mixture Word Problems Question 411817: A farmer cooperative mixes two brands of cattle feed. Brand x cost \$25 per bag and contains 2 units of nutritional element A, 2 units of element B, and 2 units of element C. Brand Y costs \$20 per bag and contains 1 unit of nutritional A, 9 units of B and 3 units of C. Find the number of bags of each brand that should be mixed to provide a mixture having a minimum cost per bag. Requirements of nutrients A: 12 B:36 C:24 units.Answer by ankor@dixie-net.com(15628)   (Show Source): You can put this solution on YOUR website! Brand x cost \$25 per bag and contains 2 units of nutritional element A, 2 units of element B, and 2 units of element C. : Brand Y costs \$20 per bag and contains 1 unit of nutritional A, 9 units of B and 3 units of C. : Find the number of bags of each brand that should be mixed to provide a mixture having a minimum cost per bag. : Requirements of nutrients A: 12 B:36 C:24 units. : Let x = no. of bags of x Let y = no. of bags of y : Write an equation for each element, put in the slope/intercept for graphing element A equation 2x + 1y = 12 y = -2x + 12 (Red) : element B equation 2x + 9y = 36 9y = -2x + 36 y = x + 4; (green) : element C equation 2x + 3y = 24 3y = -2x + 24 y = + 8; (purple) : Graph these three equations : I'm going to say 3 bags of x, and 6 bags of y