Question: A student is planning the coming semester. In particular, he is attempting to allocate the weekly number of hours of study to the individual courses he is taking. Each hour of study will increase his mark by a certain quantity (starting at zero). Table shows the marginal improvements of the marks given each hour of study (per week) as well as the marks required for passing the course.
For example, if our student were to allocate 15 h (per week) to marketing, then his final mark is expected to be 15(5) = 75, which means passing the course.
The student's objective is to minimize the total number of hours studied. In addition, the following constraints have been identified:
• A passing grade should be achieved in each course.
• Obtain an average grade of at least 64.
• Suppose that the student has the option to flip hamburgers at McDonalds in his spare time. This job pays $10 per hour. Assuming that the student has a total of 80 h available for study and flipping, formulate that our student makes at least $100 per week.
• The number of hours allocated to operations research should be at least 20 % of the number of hours allocated to the other four subjects combined.
