A business student at Knowledge College must complete a total of 65 courses to graduate ...

A business student at Knowledge College must complete a total of 65 courses to graduate. The number of business courses must be greater than or equal to 23. The number of nonbusiness courses must be greater than or equal to 20. The average business course requires a textbook costing $60 and 120 hours of study. Nonbusiness courses require a textbook costing $24 and 200 hours of study. The student has $3,000 to spend on books.
 

a. Create a set of linear equations to describe the objective function and the constraints.
b. Use graphic analysis to find the visual solution.
c. What combination of business and nonbusiness courses minimizes total hours of study?
d. Identify the slack or surplus values