hye guys..i need solution for this question. using software or manually.

 

 

 

Group Assignment (Linear Programming) SMQ3043 Assignment SMQ3043 (30 marks) 1. What is “Sensitivity Analysis”? Discuss the importance of Sensitivity Analysis
in Linear Programming.
2. TechnoCo produces four products, requiring time on two machines and two
types (skilled and unskilled) of labor. The amount of machine time and labor
(in hours) used by each product and the sales prices are given in Table 1.
Each month, 700 hours are available on machine 1 and 500 hours on
machine 2. Each month, TechnoCo can purchase up to 600 hours of skilled
labor at RM 8 per hour and up to 650 hours of unskilled labor at RM 6 per
hour. Formulate an LP that will enable TechnoCo to maximize its monthly
profit. Solve this LP and use the output to answer the following questions:
a) By how much does the price of product 3 have to increase before it
becomes optimal to produce it? b) If product 1 sold for RM 290, then what would be the new optimal solution
to the problem? c) What is the most TechnoCo would be willing to pay for an extra hour of
time on each machine? d) What is the most TechnoCo would be willing to pay for an extra hour of
each type of labor? e) If up to 700 hours of skilled labor could be purchased each month, then
what would be TechnoCo’s monthly profits? f) Write the dual of this problem. Table 1
Produc
t
1
2
3
4 Machine
1
11
7
6
5 Machine
2
4
6
5
4 Skille
d
8
5
4
6 Unskille
d
7
8
7
4 Sales
(RM)
300
260
220
180 Group Assignment (Linear Programming) SMQ3043 PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
1. Answer all questions in a group of 3 or 4 students.
2. Please submit both hardcopy and softcopy (on MyGuru) by Week 11. Marks
will be deducted for LATE SUBMISSION!
3. Your assignment should include the following information:
i) Question (Print from MyGuru) ii) Answers iii) Group Discussion / Meeting Report (Use the format below):
For example:
N
o
1 Date Activities Task Assign Group meeting attended Student 1 2016 by: (name): Student 1, Student 2, …
iv) 13 May Formulate LP - Discussed about Chap 2
References (at least two reference books) model 4. Your assingment should be typed.
Format : Font : Times New Roman, size 12, Spacing: 1.5, Paper: A4
(white)
Cover format: (example)
SMQ3043 – LINEAR PROGRAMMING
Use Tape
Binding Semester 2 2015/2016
Group Assignment
Group A No.
1.
2.
3.
4. Name Student ID

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