CO-3: Identify the various manufacturing and service system designs and capacity

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CO-3: Identify the various manufacturing and service system designs and capacity

CO-3: Identify the various manufacturing and service system designs and capacity planning methods.
1. The manager of an oil refinery must decide on the optimal mix of two possible blending processes of which the input and output per production run are given as follows:
Process Units
Input
Crude A

Crude B
Output
Gasoline X

Gasoline Y
1
5
3
5
8
2
4
5
4
4
The maximum amount available of crude A and B are 200 units and 150 units respectively. Market requirements show that at least 100 units of gasoline X and 80 units of gasoline Y must be produced. The profit per production run from process 1 and process 2 are Rs. 300 and Rs. 400 respectively. Formulate this problem as a linear programming model.
2. A city police department has the following minimal daily requirement for policeman. Note, you are to consider period 1 as following immediately after period 6. Each policeman works eight consecutive hours. Let X denote the number of men starting work in period t everyday. The police department seeks a daily manpower schedule that employs the least number of policemen, provided that each of the above requirements is met. Formulate linear programming model to find an optimal schedule.
Time of Day
Period
Minimal number of police required during a period
2 – 6
1
20
6 – 10
2
50
10 – 14
3
80
14 – 18
4
100
18 – 22
5
40
22 – 2
6
30
3. A car dealer selects his cars for sale very carefully so as to ensure the optimization of his profits. He deals in 4 types of cars A, B, F and G. The purchase value of the cars range at Rs. 60,000, 150,000, 55,000 and 220,000 and the sales value is fixed at Rs. 80,000, 175,000, 75,000 and 250,000 respectively. The probability of sale are 0.8, 0.9, 0.6 and 0.50 respectively during a period of six months. In order to invest Rs. 20,00,000 in his deals, he wishes to maintain the rates of purchase of cars as 3 : 1 : 2 : 4. Work out how and how much he should buy. Formulate this problem as LP model.
4. Use graphical method to solve the following LP problems
Max. Z = 3×1 + 4×2

Subject to
2×1 + x2 ≤ 10
x1 + 3×2 ≤ 12
x1 + x2 ≤ 6
x1, x2 ≥ 0
See Assignment Template attached
Due on Dec 17, 2023 11:59 PM
Attachments
Week 2 AssignmentTemplate.docx (15.25 KB)
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Rubric Name: BUSN312 Essay Rubric
Criteria
Exemplary
Accomplished
Developing
Beginning
Did Not Attempt
Criterion Score
ILO: Applied Learning
20 points
Student provided strong evidence that they completely understood the premises of the lesson content and exhibits expertise in how to apply the concepts effectively.
17 points
Student understood the majority of the premises of the lesson content and exhibits knowledge how to apply the majority of the concepts effectively. Some minor corrections were needed.
15 points
Student understood some of the premises of the lesson content; however significant portions were not thoroughly understood to the extent needed to apply the concepts.
13 points
Student did not appear to understand the majority of the basic premises of the lesson content and most likely could not apply a majority of the concepts effectively.
0 points
Student did not submit an assignment or gave evidence they did not understand the lesson material and could not apply any of the concepts effectively.
Score of ILO: Applied Learning,/ 20
Program Objectives
25 points
Essay thoroughly and correctly addressed all variables, questions, and/or management factors posed in the instructions correctly.
21.25 points
Essay thoroughly and correctly addressed 90%+ of the variables, questions, or management factors posed in the instructions correctly, however, one or two questions were not answered as thoroughly as needed.
18.75 points
Essay thoroughly and correctly addressed 80% to 90% of the variables, questions, or management factors posed in the instructions Some answers were not as thorough as required or were inaccurate.
16.25 points
Student thoroughly and correctly addressed only 70% to 80% of the variables, questions, or management factors posed in the instructions correctly and/or some answers were not as thorough as needed.
0 points
Student did not submit an assignment or addressed less than 70% of the variables, questions, or management factors posed in the instructions.
Score of Program Objectives,/ 25
Course Objectives
25 points
Student provided more than three examples that reflected an understanding of the premises and objectives of the lesson material.
21.25 points
Student provided 2-3 examples that reflected an understanding of the importance of the premises and objectives of the lesson material.
18.75 points
Student provided 1 example that reflected an understanding of the importance of the premises and objectives of the lesson material.
16.25 points
Student did not provide any examples that reflected an understanding of the importance of the premises and objectives of the lesson material.
0 points
Student did not submit the assignment.
Score of Course Objectives,/ 25
Narrative clarity and use of correct Grammar, punctuation, & word choice
20 points
Writing is consistently clear throughout the essay and contained 0 – 2 different grammar, punctuation, or word choice errors.
17 points
Writing is generally clear and/or contained 3 – 4 different grammar, punctuation, or word choice errors.
15 points
Writing is less than clear in several places and/or contains 5 – 6 different grammar, punctuation, or word choice errors.
13 points
Writing is unclear in a significant portion of the essay and/or contains 7 – 8 different grammar, punctuation, or word choice errors.
0 points
Paper contains 9+ different grammatical errors OR student did not submit a paper.
Score of Narrative clarity and use of correct Grammar, punctuation, & word choice,/ 20
Use of APA Format & Style
10 points
Paper contains no more than 2 APA errors, including formatting.
8.5 points
Paper contains 3 different APA errors, including formatting.
7.5 points
Paper contains 4 different APA errors, include formatting.
6.5 points
Paper contains 5-6 different APA errors, including formatting.
0 points
Student did not submit the assignment or had 6+ APA errors, including formatting
Score of Use of APA Format & Style,/ 10
Total
Score of BUSN312 Essay Rubric,/ 100
Overall Score
Exemplary
90 points minimum
Accomplished
80 points minimum
Developing
70 points minimum
Beginning
60 points minimum
Did Not Attempt
0 points minimum
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