You work for a logistics company and your manager has asked you to evaluate their shipping and outbound system queue. Specifically, the manager wants to better understand the relationship between packing rates and the resulting average amount of time a package spends in the system. The warehouse's average service rate is a function of the number of servers working such that (number_of_workers*72 = average_packages_serviced_per_hour) . At any given time, the manager can have 16 to 24 workers in the warehouse. Assuming the warehouse operation meets M/M/1 model assumptions and has an average package arrival rate of 1000 packages/hour, what is the minimum number of workers required to meet the threshold of 12 seconds for the average time a package spends in the system? a. 16 workers
b. 18 workers
c. 20 workers
d. 22 workers
e. 24 workers

Suppose that a monopolistically competitive restaurant is currently serving 260 meals per day (the output where mr

Kyle and alyssa paid $1,000 and $4,000 in qualifying expenses for their two daughters jane and jill, respectively, to attend the university of california. jane is a sophomore and jill is a freshman. kyle and alyssa's agi is $135,000 and they file a joint return. what is their allowable american opportunity tax credit after the credit phase-out based on agi is taken into account?

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e.g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.