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ii. If we could obtain more of the resource represented by x6, could we increase profit? Why or why not?x5x54x5x2
IEOR 4004Exam 1Fall 2014Name_______________________UNI______________No materials other than a pen/pencil are allowed.2. (20 points) A farmer would like to determine the optimal proportions of three ingredients to include in an animal feed mix. The final product must satisfy several nutrient restrictions. All possible ingredients, their nutrient contents (in kilograms of nutrient per kilograms of ingredient) and the unit cost are shown in the table below. The mixture must meet the following restrictions: Calcium —at least 0.8% but not more than 1.2% Protein —at least 22% Fiber —at most 5% Formulate a linear program that will find the composition of the feed mix that satisfies these constraints while minimizing cost.10.030.590.0S