8.) In her last-minute preparations for final exams, a student has set aside 5 hours to split between studying for 2 subjects, finance and managerial economics. Her goal is to maximize the average grade received in the 2 courses.(Note that maximizing the average grade and maximizing the sum of the grades are equivalent goals.)According to her best guesses, grades vary with study as follows:

Study Hours Finance Grade Study Hours Managerial Economics 0 Grade 70 0 1 75 78 1 2 81 83 2 3 85 88 3 4 87 90 4 5 89 92 5 90