Project #30052 - Operation Management

PROBLEM 1

Assume that the total score from OPRE6302 are found to be normally distributed, with a mean of 820 and standard deviation of 40. Professor is not sure if he should curve to reach the letter grades or do classic scale grading. Class population is 77 after 3 students dropped the class before semester ended.

Help him answer the following questions so he can make decisions favoring his students.

a.     How many students completed this course between a total score of 800 and 899? (30 pts)

b.     Suppose one of the students total score is 700. What percentage of the students are lower? (30 pts)

c.     If professor decides to assign 860 and above with a letter grade A. How many  students will get an A? (40 pts)

Your answers should be all integer so round them to the nearest integer. (Ex. 10.35 rounds as 10 & 2.67 rounds as 3)

Hint: z-table can be found in the other attached file on e-learning

 

PROBLEM 2 (50 pts)

You are responsible from a storage place, which is 2400 cubic feet. Your company receives 2 types of boxes a large and a small size. Large boxes come in 60-cubic-foot packing and small boxes come in 40-cubic-foot. Large boxes can be sold for a $250 profit and the smaller ones can be sold for $150 profit. How many of each type of boxes should be sold to maximize profit and what is the maximum profit if:

Hints:

2 of the constraints given below in hint section.

You should write the objective and the other constraint 1 based on the problem statement.

let x = number of large refrigerators

let y = number of small refrigerators

 

your profit equation is:

______________________

your constraint equations are:

Contraint 1 à _______________(storage constraint)

Contraint 2 à x + y >= 50 (box a minimum sold)

Contraint 3 à x + y >= 40 (box b minimum sold)

 

Use of Excel Solver can help you solve this problem more efficiently

 

PROBLEM 3

There are 5 jobs and each require s teps of operation for completions. First operations is at Machine 1 and second operations is Machine 2. Schedule the following Job’s using Johnson’s Rule.

Job

Machine 1 Processing Time

Machine 2 Processing Time

1

2

6

2

7

1

3

5

8

4

3

2

5

4

5

 

a.     What should be the completion order of these jobs?  (30 pts)

b.     Once you schedule each job on these two machines. How many days of idle time you expect at Machine 2, if any? (30 pts)

c.     How many days will be needed to complete all these jobs? (40 pts)

Subject General
Due By (Pacific Time) 05/06/2014 10:00 pm
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