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A college student has 5 days remaining before final examinations begin in her four modules, and she wants to allocate this study time as effectively as possible. She likes to concentrate on just one module each day, so she wants to allocate 0, 1, 2, 3 or 4 days to each module. She estimates that alternative allocations for each module would yield the number of score points shown in the table below. Number of days Module 1 0 0 1 3 2 5 3 7 4 8 Module 2 0 5 5 7 8 Module 3 0 2 6 7 8 Module 4 0 1 2 3 5 (a) Use dynamic programming to find an allocation of study days to modules to obtain the maximal total score. Explain your calculations.

A college student has 5 days remaining before final examinations begin in her four modules, and she wants to allocate this study time as effectively as possible. She likes to concentrate on just one module each day, so she wants to allocate 0, 1, 2, 3 or 4 days to each module. She estimates that alternative allocations for each module would yield the number of score points shown in the table below. Number of days Module 1 0 0 1 3 2 5 3 7 4 8 Module 2 0 5 5 7 8 Module 3 0 2 6 7 8 Module 4 0 1 2 3 5 (a) Use dynamic programming to find an allocation of study days to modules to obtain the maximal total score. Explain your calculations.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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A college student has 5 days remaining before final examinations begin in her four modules, and she wants to allocate this study time as effectively as possible. She likes to concentrate on just one module each day, so she wants to allocate 0, 1, 2, 3 or 4 days to each module. She estimates that alternative allocations for each module would yield the number of score points shown in the table below. Number of days Module 1 Module 2 Module 3 Module 4 1 3 2 1 2 5 2 3 7 7 7 3 4 8 8 8 5 (a) Use dynamic programming to find an allocation of study days to modules to obtain the maximal total score. Explain your calculations. Having recently taken an optimisation models module, the student decided to use linear programming to find the allocation. She amended the score table in a way that for each module i the score column can be represented as a linear function a+b;d, where d is the non-zero number of days allocated, and a; and b; are some constants. She decided that the score is still zero if no study days are allocated to the module.
Transcribed Image Text:A college student has 5 days remaining before final examinations begin in her four modules, and she wants to allocate this study time as effectively as possible. She likes to concentrate on just one module each day, so she wants to allocate 0, 1, 2, 3 or 4 days to each module. She estimates that alternative allocations for each module would yield the number of score points shown in the table below. Number of days Module 1 Module 2 Module 3 Module 4 1 3 2 1 2 5 2 3 7 7 7 3 4 8 8 8 5 (a) Use dynamic programming to find an allocation of study days to modules to obtain the maximal total score. Explain your calculations. Having recently taken an optimisation models module, the student decided to use linear programming to find the allocation. She amended the score table in a way that for each module i the score column can be represented as a linear function a+b;d, where d is the non-zero number of days allocated, and a; and b; are some constants. She decided that the score is still zero if no study days are allocated to the module.
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