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Let S = {a, b, c, d, e, f, g} be a collection of items with weight-benefit values as follows: a(3, 12), b(6, 12), c(6, 9), d(1, 5), e(2, 5), f(10, 10), g(3, 9). For example, item a weighs 3 lbs and is worth a total of $12. What is an optimal solution to the fractional knapsack problem for S assuming we have a knapsack that can hold a total of 11 lbs? Show your work.

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