A manufacturing company has a small production line dedicated to the production of a particular product. The line has four stations in serial. Inputs arrive at station 1 and the output from station 1 becomes the input to station 2. The output from station 2 is the input to station 3 and so on. The output from station 4 is the finished product. Station 1 can process 2,200 units per month, station 2 can process 2,300/month, station 3 can process 2,000/month, and station 4 can process 2,100/month.

a. What station sets the maximum possible output from this system?b. What is that maximum output number?

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?

Beswick company your team is allocated a project involving a major client, the beswick company. although the organization has many clients, this client, and project, is the largest source of revenue and affects the work of several other teams in the organization. the project requires continuous involvement with the client, so any problems with the client are immediately felt by others in the organization. jamie, a member of your team, is the only person in the company with whom this client is willing to deal. it can be said that jamie has:

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.