A business student at Nowledge 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 non business courses must be greater than or equal to 20. The average business course requires a textbook costing $60 and 120 hours of study. Non business 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 non business courses minimizes total hours of study?

d. Identify the slack or surplus variables.