Question: Problem 2: Sid Das Brick Distributors currently employs 1 worker whose job is to load bricks on outgoing company trucks. An average of 24 trucks

Problem 2: Sid Das Brick Distributors currently

Problem 2: Sid Das Brick Distributors currently employs 1 worker whose job is to load bricks on outgoing company trucks. An average of 24 trucks per day, or 3 per hour, arrive at the loading platform, according to a Poisson distribution. The worker loads them at a rate of 4 trucks per hour, following approximately the exponential distribution in his service times. Das believes that adding a second brick loader will substantially improve the firm's productivity. He estimates that a two-person crew at the loading gate will double the loading rate from 4 trucks per hour to 8 trucks per hour. a. Analyze the effect on the queue of such a change and compare the results to those achieved with one worker. C. b. What is the probability that there will be more than 3 trucks either being loaded or waiting? Truck drivers working for Sid Das earn an average of $10 per hour. Brick loaders receive about $6 per hour. Truck drivers waiting in the queue or at the loading platform are drawing a salary but are productively idle and unable to generate revenue during that time. What would be the hourly cost savings to the firm if it employed 2 loaders instead of 1

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