Time management is often a difficult task. Usually Tim studies m hours per week. In this...
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Time management is often a difficult task. Usually Tim studies m hours per week. In this term, he has n courses and course i € {1,...,n} requires at minimum ki hours (e.g. going to classes, discussions). Assume there is a family of linear functions f(x) = aix+b; with ai € [0, ∞) and b; ER, which estimate the expected score of the course i if Tim studies & hours per week for that course. How can Tim allocate his time per week so that he can achieve the maximum expected average score of the whole term? Write a linear program that solves this problem. Time management is often a difficult task. Usually Tim studies m hours per week. In this term, he has n courses and course i € {1,...,n} requires at minimum ki hours (e.g. going to classes, discussions). Assume there is a family of linear functions f(x) = aix+b; with ai € [0, ∞) and b; ER, which estimate the expected score of the course i if Tim studies & hours per week for that course. How can Tim allocate his time per week so that he can achieve the maximum expected average score of the whole term? Write a linear program that solves this problem.
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