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An investment company wants to study the investment proposals based on

Question


An investment company wants to study the investment proposals based on the profit factor. While analyzing a new investment proposal, the company estimated the probability distribution for the profit as follows:

Profit (in
thousands) 
3 5 7 9 10
Probability 0.1 0.2 0.4 0.2 0.1

Using the random numbers:

19, 7, 90, 2, 57, 28

Simulate the profit of the company for six trials.


Posted on : 2024-03-10 20:43:12 | Author : IGNOU Academy | View : 65

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Word Count : 280

To simulate the profit of the company for six trials using the provided probability distribution and random numbers, we can follow these steps:

1. Generate random numbers.
2. Match the random numbers with cumulative probabilities to determine the profit.

Let's proceed with the calculations:

1. Generate random numbers: 19, 7, 90, 2, 57, 28

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Degree : BACHELOR DEGREE PROGRAMMES
Course Name : Bachelor Degree Programmes
Course Code : BDP
Subject Name : Operational Research
Subject Code : AOR 1
Year : 2024



IGNOU AOR 1 Solved Assignment 2024
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Related Question


In an optimal solution (x_{1}^{*}x_{2}^{*}) of the LPP

Max.  4x_1+3x_2

s.t.

       x_1+x_2=2

      x_1+x_2\geq 0

x_{1}^{*},x_{2}^{*}  both cannot be positive.


Solve the following LPP by Simplex method:

Max.   x_1+7x_2

such that

         3x_1+5x_2\leq 15

         5x_1+2x_2\leq 10

                   x_1,x_2\geq 0

From the optimal table of the solution to the problem find the optimal solution of the dual of the problem. Verify complementary slackness property for the primal-dual pair.


Write the dual of the following LP problem:

Min.  Z=3x_1-2x_2+4x_3

Subject to

3x_1+5x_2+4x_3\geq 7

6x_1+x_2+3x_3=4

7x_1-2x_2-x_3\leq 10

x_1,x_2,x_3\leq0


The time taken by a TV repair person to repair a TV set is exponentially distributed with mean 30 minutes. She repairs the sets in the order in which they come in. The arrival rate of the sets is approximately Poisson with an average rate of 10 per 8 hours day. Answer the following questions: (5)
 i) What is the repair person’s expected idle time each day?
 ii) How many jobs are ahead of the arriving set just brought in?
 iii) What is probability that there are 2 or more sets in the system?


) The following is the optimal table of a maximising LPP where  x_3,x_4\, and\, x_4 are slack variables.

Suppose a new constant 8 2x1 + x2 ≤ is added to the LPP. Find the new optimal solution of the resulting LPP.


) निम्नलिखित LPP को ग्राफीय विधि से हल कीजिए :

z = 2x₁ + 3x₂ का अधिकतमीकरण कीजिए
जबकि :
x₁ + x₂ ≤ 30
x₁ - x₂ ≥ 0
x₂ ≥ 3
0 ≤ x₁ ≤ 20
तथा 0 ≤ x₂ ≤ 12
3. (क) निम्नलिखित LPP को हल करने के लिए एकघा विधि का प्रयोग कीजिए :

equation का अधिकतमीकरण कीजिए
जबकि : 5

equation
equation
equation

तथा equation

(ख) निम्नलिखित LPP की द्वैती लिखिए : 5

z = 2x₁ + 3x₂ + 4x₃ का न्यूनतमीकरण कीजिए
जबकि :

2x₁ + 3x₂ + 5x₃ ≥ 2
3x₁ + x₂ + 7x₃ = 3
x₁ + 4x₂ + 6x₃ ≤ 5

x₁, x₂ ≥ 0 और x₃ अप्रतिबंधित है।

Sure, here's the text from the image:


Listed in the table below are the activities and sequencing requirements necessary for the completion of a project.

Activity Predecessor Duration in
weeks
A __ 6
B A 24
C A 6
D A 12
E A 9
F C,D,E 18
G B,F 12
H G 24

 

i) Draw a net work diagram for the project.
ii) Find the critical path and the duration for the completion of the project. 

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