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

Posted: Wed Jul 06, 2022 6:22 pm
by answerhappygod
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.
For This problem, (1) definitions of variables,(2) LP formulation, (3) optimal solution from QM for Windows, and(4) optimal objective function value from QM.
(i) Definitions of variables (X1=Oats andX2=Rice)
(ii) LP formulation in the format of Max (MinimumZ=; Subject to…)
(iii) Optimal solution; that is, X1=?,X2=?.
(iv) The optimal objective functionvalue.
Please provide a detailed response.