A professor gives two types of quizzes: objective and recall. He plans to give at least 18 quizzes this quarter. The student

Question

A professor gives two types of quizzes: objective and recall. He plans to give at least 18 quizzes this quarter.
The student preparation time for an objective quiz is 12 minutes and for a recall quiz 36 minutes.
The professor would like a student to spend at least 4 hours (240 minutes) preparing for these quizzes above and beyond
the normal study time.
The average score on an objective quiz is 6, and on a recall quiz 4.
The professor would like the students to average at least 88 points.
It takes the professor 1.5 minutes to grade an objective quiz, and 2.5 minutes to grade a recall type quiz.
How many of each type should he give in order to minimize his grading time?

Kunduz · Accepted Answer

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