by students$)$ Since each of the four professors taught each of the four courses at one time or another during the $2$ year period, Glaser is able to record a course rating for each Instructor. These ratings are shown In the following tablo.

$\backslash$table$[[,$Course,$],[$Prolessor$,$Statistics,Management,Finance,Economics$],[$W$.$W$.$ Fisher,$65,75,70,50],[$D$.$ Golhar,$90,65,95,40],[$Z$.$ Hug,$70,60,80,75],[$N$.$ K$.$ Ruslagi,$85,40,80,60]]$

a$)$ The optimal assignnent of courses to professors that will maximize the overall teaching rating is:

$\backslash$table$[[$Statistics$,,],[$Management$,,],[$Finance$,,],[$Economics$,,]]$

$($enter your respanse as a whole number$).$

The overall teaching rating of the assignment : $$

b$)$ The school does not want Professor Fisher to be assigned to the statictics ciass. Based on the issignment above, a change to the assignment $$ required to ensure that Professor Fisher does not teach statistics