Question

1. There are multiple sections of 3 classes that have to be offered. Class A has an average enrollment of 120 per term. Class B has an average of 100 students per term and Class C has an average enrollment of 85 students per term. The rules for opening and cancelling sections are as follows:

1. Any section of this class must have at least 15 students to run. Any less than this and the section is cancelled.
2. Each section has a maximum enrollment of 45 students.
3. A new section will open up when the previous section (s) have an average enrollment of 40.
4. A new section will open up to accommodate department regulations on staffing.

For each class run a simulation using your chosen distribution and determine the following:

1. Given that anytime enrollment in a class reaches over 175 students, there will be 5 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

ii)    Given that anytime enrollment in a class reaches 135 students to 180 students, there will be 4 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

3. Given that anytime enrollment in a class reaches 95 students to 120 students, there will be 3 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

4. If a third section of Class C opens when enrollment goes above 80, and it gets cancelled when enrollment is below 95, How often does the third section get cancelled? (Enrollment is between 80 and 95)

5. Based upon the probabilities you found above, how many sections of each class do you offer? 2, 3, 4 or 5?

Class A =

Class B =

Class C =

Using the number of sections, you found above create a schedule that maximizes the quality of teaching these classes. Full Time profs must teach 3-4 sections. Part time profs must teach 1-2 sections.

6. What is the minimum number of sections (total) that need to be offered?

7. What is the maximum number of sections (total) you can offer?

Professor Data is below:

Prof	Class	Qual Score		Prof	Class	Qual Score
FT1	Class A	10		PT1	Class A	4
FT1	Class B	10		PT1	Class C	7
FT1	Class C	8		PT2	Class A	8
FT2	Class A	9		PT2	Class C	7
FT2	Class B	7		PT3	Class B	6
FT2	Class C	5		PT3	Class C	6

Given your answers in part v, and possibly modified by your answers in part vi, what is the quality score of your department’s teaching?

How many sections of each class do the professors teach?

Prof	Class	# Sections		Prof	Class	# Sections
FT1	Class A			PT1	Class A
FT1	Class B			PT1	Class C
FT1	Class C			PT2	Class A
FT2	Class A			PT2	Class C
FT2	Class B			PT3	Class B
FT2	Class C			PT3	Class C

Answer 1

Dear,

Here is the code

#include<stdio.h>

void main()

{

char Names[20],highName[20],lowName[20];

int score,high,low,highest[4],lowest[4];

float avera[4];

int i,j;

for(int i=0;i<4;i++)

{

printf("Class:%d",i);

int sum=0;

for(j=0;j<5;j++)

{

printf("Enter name:");

scanf("%s",Names);

printf("Enter score:");

scanf("%d",&score);

if(j==0)

{

strcpy(highName,Names);

strcpy(lowName,Names);

high=score;

low=score;

}

else

{

if(score>high)

{

high=score;

strcpy(highName,Names);

}

if(score<low)

{

low=score;

strcpy(lowName,Names);

}

}

sum=sum+score;

}

highest[i]=high;

lowest[i]=low;

avera[i]=(float)sum/5;

}

float highavg=avera[0];

int highAll=highest[0],h=0,hav=0;

printf("Average for each class");

printf("Class:1\t%f",avera[0]);

float avgavg=avera[0];

for(int i=1;i<4;i++)

{

avgavg=avera[i];

if(highest[i]>highAll)

{h=i; highAll=highest[i];}

if(avera[i]>highavg)

{ highavg=avera[i];hav=i;}

printf("Class:%d\t%f",i+1,avera[0]);

}

printf("Average across all classes:%f",avgavg/4);

printf(" Highest student score in each class");

for(int i=0;i<4;i++)

printf("class 1:%d\t%d",i+1,highest[i]);

printf("Highest class average%f",highavg);

printf("class:%d",hav);

getch();

}