QTB – May 2017 – L1 – SB – Q4b – Operations Research

Identify non-basic variables in a transportation model and calculate the probability of a specific event in random disk selection.

Question

i. Given the following initial basic tableau of a transportation problem:

Identify the non-basic variables and compute their corresponding
relative cost coefficients. (4marks)

ii. A bag contains 39,800 white disks and 200 black disks from which
1,000 disks are taken at random. Calculate the probability that the
sample contains 4 black disks. (6marks)

Answer

From the given initial basic tableau, the non-basic variables
are x13 and x21.

Their relative cost coefficients are computed as follows:
For x13:
For x13 relative cost coefficient

For x21:
For x21 relative cost coefficient

C21 = 3(+1) +2 (-1) +4 (+1) +6 (-1) = 3 – 2 + 4 – 6 = 1

b. (ii)

Tags: Non-basic Variables, Probability, Random Sampling, Relative Cost Coefficients, Transportation Problem
Level: Level 1

Topic: Operations Research
Series: MAY 2017

Uploader: Kwame Aikins