Q1.A vehicle negotiates a transition curve with uniform speed v . If the radius of the
horizontal curve and the allowable jerk are R and J , respectively, the minimum
length of the transition curve is
Answer : Option DExplaination / Solution: No Explaination.
Q6.Customers arrive at a ticket counter at a rate of 50 per hour and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is 1min. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in minutes is:
Q7.Cars arrive at a service station according to Poisson’s distribution with a mean
rate of 5 per hour. The service time per car is exponential with a mean of
10minutes. At steady state, the average waiting time in the queue is
Q8.One unit of product P1 requires 3 kg of resource R1 and 1kg of resource R2 . One
unit of product P2 requires 2kg of resource R1and 2kg of resource R2. The profits
per unit by selling product P1 and P2 are Rs.2000 and Rs.3000 respectively. The
manufacturer has 90kg of resource R1 and 100kg of resource R2.
The unit worth of resource R2 i.e., dual price of resource R2 in Rs. Per kg is
Answer : Option AExplaination / Solution:
Because the constraint on resource 2 has no effect on the feasible region.
Q9.One unit of product P1 requires 3 kg of resource R1 and 1kg of resource R2 . One unit of product P2 requires 2kg of resource R1and 2kg of resource R2. The profits per unit by selling product P1 and P2 are Rs.2000 and Rs.3000 respectively. The manufacturer has 90kg of resource R1 and 100kg of resource R2.
The manufacturer can make a maximum profit of Rs.
Answer : Option BExplaination / Solution:
Optimum solution is: 0, 45 and maximum profit = Rs.135000