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The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and...

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Advance Math

  1. The Munchies Cereal Company makes a cereal from severalingredients. Two of the ingredients, oats and rice, provideVitamins A and B. The company wants to know how many ounces of oatsand rice it should include in each box of cereal to meet theminimum requirements of 48 milligrams of vitamin A and 12milligrams of vitamin B while minimizing cost. An ounce of oatscontributes 8 milligrams of vitamin A and 1 milligram of vitamin B,whereas an ounce of rice contributes 6 milligrams of A and 2milligrams of B. An ounce of oats costs $0.05, and an ounce of ricecosts $0.03.
  1. Formulate a linear programming model for thisproblem.
  2. Solve the model using graphical analysis.
  3. What would be the effect on the optimal solution in theabove problem if the cost of rice increased from $0.03 to $0.06 perounce?

Answer & Explanation Solved by verified expert
4.3 Ratings (564 Votes)
alet x1 be the oats and x2 be riceLp problemMIN z 005x1 003x2subject to8x1 6x2 48x1 2x2 12and x1x2 0b1 To draw constraint    See Answer
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