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This question is from discrete mathematics

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A software house has four developers namely Oliver, Harry, Harper, Ella. The software house bids on 5 projects and succeeded to acquire all 5 of them. Oliver requires 8 days to finish project 1 whereas Harry requires 13 days, Harper needs 38 days and Ella demands 9 days. For project 2, Oliver will take 26 days, Harry will require 28, Harper will need 19 days and Ella will take 26 days. For project 3, Oliver will take 17 days, Harry will take 4 days, Harper will take 18 days and Ella will take 24 days. For project 4, Oliver requires 11 days, Harry requires 26, Harper requires 15 and Ella requires 10 days. For project 5, all the developers require 10 days.

a)Is it possible to assign projects to the workers using techniques of discrete structures?

b)Apply prim’s Algorithm to the given scenario

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