Can you help me with Question #5 ?

5. The number of students that a driving school can educate per week is given by q = 10[min(k, )] , where k is the number of backhoes the firm rents per week, / is the number of instructors hired each week, and y = 0.5 is a parameter indicating the returns to scale in this production function. (a) Derive the firm's total cost function (as a function of q, capital rental price v and wage w). (b) Derive the profit function (as a function of the charge per student P, v and w). (c) if v=1000, w=500, and P=600, how many students will the school serve and what are its profits