How to formulate a linear programming model

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Reference no: EM13207593

The Charm City Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 45 milligrams of vitamin A and 20 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 8.5 milligrams of vitamin A and 1.2 milligram of vitamin B, whereas an ounce of rice contributes 6.4 milligrams of A and 2.2 milligrams of B. An ounce of oats costs $0.08, and an ounce of rice costs $0.05.

Formulate a linear programming model for the above situation by determining
(a) The decision variables.
(b) The objective function.
(c) All the constraints.

Reference no: EM13207593

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