Solve it step by step with explanation

Problem 3 10.3-3. A college student has 7 days remaining before final ex- aminations begin in her four courses, and she wants to allocate this study time as effectively as possible. She needs at least 1 day on each course, and she likes to concentrate on just one course each day, so she wants to allocate 1, 2, 3, or 4 days to each course. Having recently taken an OR course, she decides to use dy- namic programming to make these allocations to maximize the to- tal grade points to be obtained from the four courses. She estimates that the alternative allocations for each course would yield the num- ber of grade points shown in the following table: Estimated Grade Points Course Study Days 1 N 3 4 4 1 4 WN 1 2 3 4 nn oooo 5 6 8 8 6 8 6 7 9 8 Solve this problem by dynamic programming