1. Suppose that you only have 2 classes this semester: intermediate microeconomics and nuclear physics. Your...

1. Suppose that you only have 2 classes this semester: intermediate microeconomics and nuclear physics. Your grade in each class is positively related to the number of hours you spend studying for that class each week. Your grade in the economics class is given by G_E = 2 + 0.2E - 0.005E² where GE is your grade on a 4-point scale and E is the number of hours you study for the economics class. Your grade in the physics class is given by G_P = 1 + 0.25P - 0.005P² where P is the number of hours you study for the physics class. You only have 20 hours per week to allocate between these two classes.

a. How should you allocate your time between the two classes to maximize your average grade for the two courses? Use a Lagrangian to solve this problem.

b. How would your average grade change if you got an extra hour to study?

Expert Solution

The question gives two equations for marks obtainable by a student in each subject dependent on the number of hours studied. However, there is a constrain of 20 hours a week to allocate this time and maximise the total grade obtained (adding of the two equations). We use Lagrange to solve this question as follows-b)

Rahul Sunny answered 1 year ago

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