1
GATE ME 1997
Subjective
+5
-0
People arrive at a hotel in a Poisson distributed arrival rate of $$8$$ per hour. Service time distribution is closely approximated by the negative exponential. The average service time is $$5$$ minutes. Calculate (a) the mean number in the waiting line; (b) the mean number in the system; (c) the waiting time in the queue; (d) the mean time in the system, and (e) the utilization factor.
2
GATE ME 1997
Subjective
+5
-0
A company rents three warehouses $$A, B$$ and $$C$$ from which they supply bearings to two customers $$P$$ and $$Q.$$ The profit per piece, the annual demands of the customers and the supplies available from the warehouses are shown below: GATE ME 1997 Industrial Engineering - Transportation Question 2 English

As the company is not able to meet the demands, it is proposed to replace warehouse $$C$$ with a warehouse rented at $$D$$ whose supply capacity would be $$5000.$$ The expected profit would be Rs.$$6$$ and Rs.$$5$$ per piece distributed to $$P$$ and $$Q$$ respectively. The rental charges for warehouse $$D$$ is Rs.$$5,000$$ per year. Find the increase in the profit of the company after replacing warehouse $$C$$ by $$D.$$

3
GATE ME 1997
MCQ (Single Correct Answer)
+2
-0.6
A small element at the critical section of a component in bi-axial state of stress with the two principal stresses being $$360$$ $$MPa$$ and $$140$$ $$MPa.$$ The maximum working stress according to distortion energy theory is
A
$$220$$ $$MPa$$
B
$$110$$ $$MPa$$
C
$$314$$ $$MPa$$
D
$$330$$ $$MPa$$
4
GATE ME 1997
MCQ (Single Correct Answer)
+1
-0.3
To make a worm drive reversible, it is necessary to increase
A
centre distance
B
worm diameter factor
C
number of starts
D
reduction ratio
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