An undergraduate business major is attempting to determine her course schedule for the fall semester. She is considering six courses, which are shown in the following table. Also included are the number of hours she expects to have to devote to each course each week and her expected grade in each course:

Course Hours per Week Expected Grade

Management I 6 3.5

Principles of Accounting 10 4

Corporate Finance 9 3

Marketing Management 7 3.5

Java Programming 11 2.7

Project Management 8 3

She does not want to work more than 40 hours each week. Principles of Accounting, Corporate Finance, and Java Programming all require a lot of computing and mathematics, and she would like to take no more than two of these courses. To remain on schedule and meet prerequisites, she needs to take at least two of the following courses: Management I, Corporate Finance and Marketing Management. To remain a full time student, she must take at least four courses. The student wants to develop a course schedule that will maximize the total expected grade.

**Formulate a capital budgeting problem for the above situation by determining**

**Note: Do NOT solve the problem after formulating and do not use any software**

**Please write out all steps**

(a) The decision variables.

(c) Determine all the constraints. Briefly describe what each constraint represents.