Suppose your lab instructor has a somewhat complicated method of determining your grade on a lab. Each lab consists of two out-of-class activities-a pre-lab assignment and a post-lab assignment-plus the in-class activities. The in-class work is 60% of the lab grade and the out-of-class work is 40% of the lab grade. Each component of the grade is based on a different number of points (and this varies from lab to lab)-for example, the pre-lab may be graded on a basis of 20 points (so a student may earn 17 out of 20 points) whereas the post-lab is graded on a basis of 30 points and the inclass 25 points. To determine the out-of-class grade the instructor takes the total points earned (pre plus post) divided by the maximum possible number of points, multiplied by 100 to convert to percent; the in-class grade is just the number of points earned divided by the maximum points, again converted to percent. The program is supposed to compute the lab grade for a student. To do this it gets as input the number of points the student earned on the prelab assignment and the maximum number of points the student could have earned; the number of points earned on the lab itself and the maximum number of points; the number of points earned on the postlab assignment and the maximum number of points. The lab grade is computed as described above: the in-class and out-of-class grades (in percent) are computed separately than a weighted average of these is computed. The program currently assumes the out-of-class work counts 40% and the in-class counts 60%. Do the following: a. Show exactly how your algorithm would execute the assignment statement that computes the out of class average . Show how the expression will be evaluated (the order in which the operations are performed) and what the result will be. b. Show how the computer would execute the assignment statement that computes the in-class average. What will the result be? c. Show how the computer would execute the assignment statement that computes the lab grade Modify the program to make the weights for the two components of the grade variable rather than the constants 0.4 and 0.6. To do this, you need to do the following: a. In the input section, add statements that will prompt the user for the weight (in decimal form-for example .4 for 40% ) to be assigned to the in-class work, then read the input. Note that your prompt should explain to the user that the weight is expected to be in decimal form. b. In the section that calculates the labGrade add an assignment statement that calculates the weight to be assigned to the out of class work (this will be 1 minus the in-class weight). Compile and run your program to make sure it is correct