Question: (Fair Division) James, Erick, and Sergiy ordered a chocolate cake, a cheesecake, a veggie pizza, and a bacon and pineapple pizza from the local pizza

(Fair Division) James, Erick, and Sergiy ordered

(Fair Division) James, Erick, and Sergiy ordered a chocolate cake, a cheesecake, a veggie pizza, and a bacon and pineapple pizza from the local pizza store. The utility of each person per item is given below. For example, if James receives 1/5 of the chocolate cake and 1/2 of the veggie pizza, then his total utility will be 1/5.40 + 1/2.10 = 13. Chocolate cake Cheesecake Veggie Pizza Bacon and pineapple 30 10 20 30 30 James Erick Sergiy 10 20 30 30 10 20 40 Write an LP formulation to find an allocation of food that maximizes the minimum utility that any individual receives from an allocation, i.e., we will maximize the utility of the person with the lowest utility

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