$($Refer to Solved Problem $1.)$ Coach Bjourn Toulouse led the Big Red Herrings to several disappointing football seasons. Only better recruiting will return the Big Red Herrings to winning form. Because of the current state of the program, Boehring University fans are unlikely to support increases in the $$192$ season ticket price. Improved recruitment will increase overhead costs to $$30,000$ per class section from the current $$25,000$ per class section. The university's budget plan is to cover recruitment costs by increasing the average class size to $75$ students. Labor costs will increase to $$6,500$ per $3-$credit course. Material costs will be about $$25$ per student for each $3-$credit course. Tuition will be $$200$ per semester credit, which is supplemented by state support of $$100$ per semester credit.

a$.$ What is the multifactor productivity ratio? Compared to the result obtained in Solved Problem $1,$ did productivity increase or decrease for the course process?

b$.$ If instructors work an average of $20$ hours per week for $16$ weeks for each $3-$credit class of $75$ students, what is the labor productivity ratio?