You have 8 hours per week available to share between these two courses (math and

Question

You have 8 hours per week available to share between these two courses (math and science) Each hour of study time that you give to math increases you grade by 10 points, and each hour of study time that you give the other course increases you grade by 8 points. If you put no time in studying either of the courses you will recieve 30 points. Both courses use the same grading scale (100-0)

1.Create data set
2. Plot PPF graph
3.Select once combination of grades for the 2 courses, and in 2 or 3 sentences provide a cost benefit justification for why you deicded on that choice.

I need help with #3 I have no idea what to write about.

Explanation / Answer

From what I understand, this problem is looking for a maximum-profit model, regardless of units of "utils" (relative satisfaction). In this model, each hour of studying yields 10 points in math, but only 8 points in science. If you calculate it out, minimum loss comes from investing the maximum you can into math (7 hours) and the remaining hour into science. This way you get a 100 in math and 38 in science; the total point loss is equal to 62 points, which is lower than any other combination (ex: 4 hours in math, 4 in science yields 70 in math and 62 in science, which is a 68 point loss; 5 hours in math and 3 hours in science yields 80 in math and 54 in science, which is a 66 total point loss). By investing 7 hours into math and 1 hour into science, you come out with the minimum opportunity cost in total number of points lost; therefore, according to this model, it is the best allocation of resources for maximum total profit/minimum total loss.

Hope this helps!

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