Student tuition at Boehring University is $$150$ per semester credit hour. The state supplements school revenue by $$100$ per semester credit hour. Average class size for a typical $3$ credit course is $50$ students. Labor costs are $$4,000$ per class, materials costs are $$20$ per student per class, and overhead costs are $$25,000$ per class.

a$.$ What is the multifactor productivity ratio for this course process?

b$.$ If instructions work an average of $14$ hours per week for $16$ weeks for each $3$ credit class of $50$ students, what is the labor productivity ratio?