Operation Research SPPU Insem Question Paper Sep 2023
All 4 questions from this SPPU insem paper, as printed. Read them here or open the PDF.
- Subject code
- 402045D
- Pattern
- 2019 pattern
- Exam
- Insem
- Session
- Sep 2023
- Max. marks
- 30
- Time
- 1 Hour
- Semester
- VII
- Paper code
- [6188]-164
Printed for: B.E. (Mechanical) (Insem.)
Instructions to the candidates
- Answer. Q1 or Q2 and Q3 or Q4.
- Answers in one answer books.
- Figures to the right indicate full marks.
- Assume suitable data, if necessary.
Questions
Q1
- a)[5]
Discuss Scientific methodology in Operation Research.
- b)[10]
A food products company is contemplating the introduction of a revolutionary new product with new packaging or replacing the existing product at much higher price (S1). It may even make a moderate change in the composition of the existing product, with a new packaging at a small increase in price (S2), or may a small change in the composition of the existing product, backing it with the word “New” and a negligible increase in price (S3). The three different possible states of nature or events are high increase in sales (N1), no change in sale (N2) and decrease in sale (N3). The marketing department of the company worked out the payoff’s in terms of the yearly net profits for each of the strategies of three events. This is represented in the following table. Which strategy should be concerned executive choose on the basis of i) Maxi-min criteria ii) Maxi-max criteria iii) Mini-max criteria iv) Laplace criteria States of nature Strategies N1 N2 N3 S1 7,00,000 3,00,000 1,50,000 S2 5,00,000 4,50,000 0 S3 3,00,000 3,00,000 3,00,000
OR- a)
Q2
- a)[5]
Discuss different types of Decision making environments.
Also asked:Aug 2025
- b)[10]
This part has equations that don’t show as text. Open the PDF to read it.
- a)
Q3
- a)[12]
This part has equations that don’t show as text. Open the PDF to read it.
- b)[3]
OR- a)
Q4
- a)[8]
A repair shop attended by a single mechanic has an average of four customers an hour who bring small appliances for repair. The mechanic Inspects them for defects and takes six minutes an average. Arrivals are Poisson and service rate has the exponential distribution. You are required to i) Find the proportion of time during which there is no customer in the shop. ii) Find the probability of finding at least one customer in the shop. iii) What is the average number of customers in the system? iv) Find the average time spent by a customer in the shop including service.
- b)[7]
This part has equations that don’t show as text. Open the PDF to read it.
- a)