# Operations Management

posted by .

Fresh Sub hires three workers during the peak hours. When customers arrive, one worker is dedicated to order taking and preparing the bread and the meat; then the customer is passed to the second worker, who asks the customer about the vegetable selection and specializes in assembly; finally the customer is passed to the third worker, who is a cashier. The service time for the first worker (order taker) follows a normal distribution with mean equals to 3 minutes and a standard deviation equals to 1 minutes. The service time for the second worker (assembler) is uniformly distributed between 2.4 minutes to 2.6 minutes. The service time for the third worker (cashier) is exactly 2.4 minutes. Customers arrive following a Poisson process with a rate of 15 customers per hour (i.e., the inter-arrival time is exponential).

a. Does Fresh Sub have enough capacity to serve the customers?

b. What are the utilization rates of the three workers?

c. On average, how many customers will wait for the first worker (order taker)? And how long on average will a customer wait?

d. As the customers finish order taking and bread/meat selection and move onto the second worker (assembler), from the assembler’s view, does the arrival rate still follows a Poisson process?

e. Will customers ever wait for the second worker (assembler)? Will customers ever wait for the third worker (cashier)?

• Operations Management -

Did you find an answer to this question? I'm definitely in the same 311 class and couldn't figure this out.

## Similar Questions

1. ### math

3 workers picked 66 bushels of peaches. The 1st worker picked 3 times more than the second worker and 2 times more than the 3rd worker. How many bushels did the second most productive worker pick?
2. ### Microeconomics: Cost of Production

Please help me with this question! QUESTION: Heaven Sub, a subway shop, has the following marginal product curve points for its hourly product: (0.5, 13) (1.5, 17) (2.5, 15) (3.5, 11) (4.5, 9) i) When labour increases from 2 to 3 workers, …
3. ### Math

A farmer died and left 17 cows to be divided among three workers. The first worker was to receive of the cows, the second worker was to receive of the cows, and the third worker was to receive of the cows. The executor of the farmer’s …
4. ### arithmetic

A job is shared by 4 workers, W, X, Y, and Z. Worker W does 1/4 of the total hours. Worker X does 1/3 of the total hours. Worker Y does 1/6 of the total hours. What fraction represents the remaining hours allocated to person Z?
5. ### college physics

Two workers are loading crates onto a pick up truck. Worker 1 lifts his crate straight up from the ground to the truck. Worker 2 slides his crate up a ramp which has frictionless rollers. Which statement is true about the work being …
6. ### Statistics

Is this right? and how can I break it down if needed?
7. ### statistics

A widget factory's worker productivity is normally distributed. one worker produces an average of 75 widgets per day with a standard deviation of 20. another worker produces at an average rate of 65 per day with standard deviation …
8. ### 12

A factory’s worker productivity is normally distributed. One worker (worker 1) produces an average of 75 units per day with a standard deviation of 20. Another worker (worker 2) produces at an average rate of 65 per day with a standard …
9. ### Math/Management

Ten jobs are to be completed by three workers (Sam, Joy, and Kelly) during the next week. Each person works a 40-hour week and is paid an hourly rate: Sam, Joy, and Kelly earn \$11, \$13, and \$14 per hour, respectively. Union rules require …
10. ### Linear Programming

A Company wishes to assign six of its workers to six different jobs (one worker to each job and vice versa). The rating of each worker with respect to each job on a scale of 0 to 10 (10 being a high rating) is given by yhe following …

More Similar Questions