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Title Name | ignou MSTE 2 solved 2024 |
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Type | Soft Copy (E-Assignment) .pdf |
University | IGNOU |
Degree | PG DIPLOMA PROGRAMMES |
Course Code | PGDAST |
Course Name | Post Graduate Diploma in Applied Statistics |
Subject Code | MSTE 2 |
Subject Name | Industrial Statistics-II |
Year | 2024 |
Session | - |
Language | English Medium |
Assignment Code | MSTE-02/Assignmentt-1//2024 |
Product Description | Assignment of PGDAST (Post Graduate Diploma in Applied Statistics) 2024. Latest MSTE 02 2024 Solved Assignment Solutions |
Last Date of IGNOU Assignment Submission | Last Date of Submission of IGNOU MSTE-02 (PGDAST) 2024 Assignment is for January 2024 Session: 30th September, 2024 (for December 2024 Term End Exam). Semester Wise January 2024 Session: 30th March, 2024 (for June 2024 Term End Exam). July 2024 Session: 30th September, 2024 (for December 2024 Term End Exam). |
Assignment Code | MSTE 2/2024 |
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Ques 1.
State whether the following statements are True or False and also give the reason in support of your answer.
a) The Set $ ={(x, y) : 0 ≤ y ≤ 5 when 0 ≤ x≤ 2 and 3≤ y≤ 5 when 2≤ x ≤ 7 } is not a convex set.
b) If 10 is added to each of the entries of the cost matrix of a 3 x 3 assignment problem, then the total cost of an optimal assignment for the changed cost matrix will increase by 10.
c) The solution to a transportation problem with m-rows (supplies) and n-columns
(destinations) is feasible if number of positive allocations is m + n.
d) The Value di ≥ 3 indicates an outlying observation in regression analysis.
e) Variations which occur due to natural forces and operate in a regular and periodic manner over a span of less than or equal to one year are termed as cyclic variations.
Ques 2.
Rewrite the following linear programming problem in Standard form:
Minimise
Subject to the Constraints:
Ques 3.
Solve the following LPP using graphical method:
Maximize
Subject to the Constraints:
Ques 4.
Solve the following LPP using Simplex method:
Maximize
Subject to the Constraints:
Ques 5.
A department head has four subordinates, and four tasks to be performed. The subordinates differ in efficiency, and the tasks differ in their intrinsic difficulty. His estimate, of the time each man would take to perform each task, is given in the table below:
Tasks | Subordinates | ||||||||||||||||||
E | F | G | H | ||||||||||||||||
A | 18 | 26 | 17 | 11 | |||||||||||||||
B | 13 | 28 | 14 | 26 | |||||||||||||||
C | 38 | 19 | 18 | 15 | |||||||||||||||
D | 19 | 26 | 24 | 10 |
How should the tasks be allocated, one to a subordinate, so as to minimise the total man hour?
Ques 6.
Use graphical method to minimise the time added to process the following jobs on the machines shown:
Job 1: | Sequence | A | B | C | D | E | |||||||||||||||||
Time | 3 | 4 | 2 | 6 | 2 | ||||||||||||||||||
Job 2: | Sequence | B | C | A | D | E | |||||||||||||||||
Time | 5 | 4 | 3 | 2 | 6 |
Calculate the total time elapsed to complete both the jobs
Ques 7.
The following data comprising the number of customers (in hundred) and monthly sales (in thousand Rupees):
Number of Customers (in hundred) |
4 | 6 | 6 | 8 | 10 | 14 | 18 | 20 | 22 | 26 | 28 | 30 | ||||||||||
Monthly Sales (in thousand Rs) |
1.8 | 3.5 | 5.8 | 7.8 | 8.7 | 9.8 | 10.7 | 11.5 | 12.9 | 13.6 | 14.2 | 15 |
Calculate the residuals and determine the standardised residuals for the model
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