A student at a local university has just completed a decision modeling course. On her assignments, she has earned a 86 on the mid-term, a 94 on the final, a 93 on problem sets, and 85 for participation. She has a unique professor who allows students to determine their own item weights with some restrictions: The participation grade can be no more than 15% of the grade. The midterm must count at least twice as much as the problem set score. Each of the four items must have at least 10% weight. The weights must sum to 100% and be nonnegative. Determine the item weights that maximize her score in the course using Solver