The overall grade in a course is determined from the grades of 6 quizzes, 3 midterms, and a final exam, using the following scheme:
Quizzes: Quizzes are graded on a scale from 0 to 10. The grade of the lowest quiz is dropped and the average of the 5 quizzes with the higher grades constitutes 30% of the course grade.
Midterms and final exam: Midterms and final exams are graded on a scale from 0 to 100. If the average of the midterm scores is higher than the score on the final exam, the average of the midterms constitutes 50% of the course grade and the grade of the final exam constitutes 20% of the course grade. If the final grade is higher than the average of the midterms, the average of the midterms constitutes 20% of the course grade and the grade of the fmal exam constitutes 50% of the course grade.
Write a computer program in a script file that determines the course grade for a student. The program first asks the user to enter the six quiz grades (in a vector), the three midterm grades (in a vector), and the grade of the final. Then the program calculates a numerical course grade (a number between 0 and 100). Finally, the program assigns a letter grade according to the following key: A for Grade > 90, B for 80 < Grade < 90, C for 70 < Grade < 80, D for 60 < Grade < 70, and E for a grade lower than 60. Execute the program for the following cases:
(a) Quiz grades: 6, 10, 6, 8, 7, 8. Midterm grades: 82, 95, 89. Final exam: 81.
(b) Quiz grades: 9, 5, 8, 8, 7, 6. Midterm grades: 78, 82, 75. Final exam: 81.