dolution

Supposedly a college program consists of two courses – Calculus and Algebra. Each hour of Calculus contains of 5 minutes of listening to lecture, 12 minutes of doing handwritten exercise, and 36 minutes of doing computer work (only these 3 activities are considered). Each hour of Algebra contains 20 minutes of listening to lecture, 10 minutes of doing handwritten exercise, and 6 minutes of doing computer work (only these 3 activities are considered). During that entire program, it is required to have at least 10 hours of listening to lecture, at least 13 hours of doing handwritten exercise, and at least 15 hours of doing computer work. To teach one hour of Calculus, the instructor needs 8 minutes to prepare the lesson; whereas to teach one hour of Algebra, the instructor needs 11 minutes to prepare the lesson. Determine the duration of teaching Calculus and Algebra by the instructor so that the time taken for preparation is minimum. Also compute such minimum time for preparation