After a test or an assignment, a teacher allows students to complete a make-up assignment that can increase their score by up to half the points they failed to earn on their original grade. Write a method that calculates the students new grade if the complete the make-up assignment. Optionally, a teacher can specify a minimum number of points the make-up assignment is worth. For example: Students completed a makeup assignment after a recent exam that was worth 88 points. If they did the makeup assignment they would earn at least another 5 points:

A student scored a 74/88: adjGrade(74,88,5)=81.0
Another student scored 61/88: adjGrade(61,88,5)=74.5
Another student scored 84/88: adjGrade(84,88,5)=89.0

The parameters are:

double grade

The students original grade

double outOf

The maximum grade on the assignment

double minAdjust

The minimum points awarded for completing the makeup assignment.