A professor gives two types of quizzes, objective and recall. Heplans to give at least 15 quizzes this quarter. The studentpreparation time for an objective quiz is 15 minutes and for arecall quiz 30 minutes. The professor would like a student to spendat least 5 hours (300 minutes) preparing for these quizzes aboveand beyond the normal study time. The average score on an objectivequiz is 7,and on a recall type 5, and the professor would like thestudent to score at least 85 points on all quizzes. It takes theprofessor one minute to grade an objective quiz, and 1.5 minutes tograde a recall type quiz. How many of each type should he give inorder to minimize his grading time?
