Problem 7 I have a small backyard garden that measures 10 x 20 feet. This spring I plan to plant three types of vegetables: tomatoes, green beans, and corn. The garden is organized in 20-foot rows. The corn and tomatoes rows are 2 feet wide, and the beans rows are 3 feet wide. I like tomatoes the most and 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. How many rows of each vegetable should I plant? (assume that he has to plant at least one row of each vegetable) a) Obtain the definition for the stages, decision variables, states and objective function. b) Draw the graph for the stages. c) Solve the problem using the tables