Answer any four of the following

1. Explain the productivity of labour, material, machine and land. Also mention the benefits of higher productivity.

2. Explain with examples the difference between:

3. Explain with the help of ergonomic concepts, how can motion economy be ensured in designing a workplace layout.

4. A company is planning to introduce an incentive pay scheme in its manufacturing plant. In developing standards for one operation, time study analysts observed a worker for 30 minutes. During that period he produced 42 units. The analyst rated the worker as 130. The base wage rate of the worker is per hour. The firm has established 15% as fatigue factor.

Operation process chart and Flow process chart

Flow diagram and String diagram

What is the standard time for the task

If the worker produced 500 units during an eight-hour day, what wage would the worker have earned?

5. Discuss the industrial design factors affecting product design.

6. Write short notes on any two of the following:

Standardisation

Performance Rating Methods

Relationship Chart

7. illustrate graphically each of the following conditions in case of LPP:

Unbound solution

Infeasible solution

Multiple optimal solution

Unique optimal solution

8. A company is spending on transportation of its units from three plants to four distribution centres. The supply and demand of units, with unit cost of transportation are given as follows
Distribution Centre
D1 D2 D3 D4 Availability

P1 19 30 50 12 7

P2 70 30 40 60 10

P3 40 10 60 20 18

Requirements 5 8 7 15

What can be the maximum saving by optimal scheduling?

9. A bank has one drive-in counter. It is estimated that cars arrive according to Poisson distribution at the rate of 2 every 5 minutes and that there is enough space to accommodate a line of 10 cars. Other arriving cars can wait outside this space, if necessary. It takes 1·5 minutes on an average to serve a customer, but the service time actually varies according to an exponential distribution. You are required to find

the probability of time, the facility remains idle,

the expected number of customers waiting but currently not being served at a particular point of time, and

the expected time a customer spends in the system.

10. Explain the following terms in relation to Game theory:

Two-person zero-sum game

Pure strategy

Mixed strategy

Principle of dominance


11. Write short notes on any two of the following decision criteria:

Maximax (Optimism) Criterion

Minimax Regret Criterion

Hurwicz Criterion