ASAP please answer this HANDWRITTEN and COMPLETE for an UPVOTE. It is operations research.

4. (20 pts) 1 have a small backyard garden that is 10 -feet wide. This spring, 1 plan to plant three types of vegetables: tomatoes, green beans, and corn. The corn and tomatoes rows are 2 feet wide, and the beans rows are 3 feet wide. I like tomatoes the most and the beans the least, and on a scale of 1 to \\( 10, I \\) would assign 10 to tomatoes, 7 to corn and 3 to beans. Regardless of my preferences, my wife insists that I plant at least one row of green beans and no more than two rows of tomatoes. Apply the dynamic programming approach to identify how many rows of each vegetable I should plant in order to maximize my preference score for the three vegetables. B. (12 pts) Show your complete solution for the generation of each state in this problem C. (5 pts) Identify the number of rows for each vegetable and the total preference score for the three vegetables