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total time required to tum out all the books. Also calculate the minimum elapsed time

and the idle times available with printing press and binding machine. (6 marks)

9. A manufacturer of utensils has estimated the following distribution of demand for a
particular kind of kitchen utensil.

No. of

utensils

demanded

Probability 0.14 | 0.27 | 0.27 | 0.18 | 0.09 | 0.04 | 0.01

Each utensil costs him Rs.7,000 and he sells them for Rs.10,000 each. Any utensils that
are left unsold at the end of the season must be disposed of for Rs. 6,000 each. How
many utensils should be in stock so as to maximize his expected profit?
10.Customers an-ive at one mobile phone service center (with only one technician)
according to a Poisson process with a mean inter-arrival time of 20 minutes. Customers
spend on an average of 15 minutes in the service area.
1. What s the probability that a new an-ival need not wait for the technician to be
free?
11. What is the expected no. of customers in the service center? 111. How much time can a
customer expect to wait for his tum?
IV. How much time can a customer expect to spend in the shop?

(3x10 marks 30 marks)
Part C
Compulsory question, the question carries 20 marks

11. a) What are the different decision making environments? Explain. (4 marks)
b) An engineering project consists of 9 activities, which are shown as below with their
time estimates (in days).

Activity | 1-2 | 1-6 | 2-3 | | 3-5 | 4-5 | 6-7 | 5-8 | 7-8
O timistic time | 1 | 2 | 2 | | 7 | 5 | 5 | 3 | | 8 |
Most likely time | 7 | 5 | 14 | | 10 | 3 | | 8 | | 3 | 17
Pessimistic time | 3 | 14 | 26 । | 8 | | 19 | 17 | 29 | | 9 | | 32
1. Draw the project network diagram
11. Find the project duration

111. Calculate the probability of the project completing in 40 days. (8marks)
c) Solve the game whose pay-off matrix is .

Player Y

PlayerX

(8marks)

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