Project umuc is to produce 200 widgets and is scheduled to take five weeks. each unit is planned to cost $90. the project is severely cost constrained. performance data for the project at the end of week three is presented below: • 120 total units were planned to be produced • 130 units have actually been produced • the financial manager reported that the business had actually spent $13,000 on the project by the end of week three. answer the following questions; show all work: a. quantify cost variance. is the project ahead or behind budget? b. quantify schedule variance. is the project ahead or behind schedule? c. quantify cost performance efficiency. is the project performing better or worse than planned? d. quantify schedule performance efficiency. is the project performing better or worse than planned? e. what is the forecast of project cost at completion assuming current cost performance efficiency remains the same? how much budget variance is expected at completion? f. what is the forecast of funding needed to complete the project (from this point forward)? g. what cost performance efficiency would be required for the remainder of the project to complete the project within the original budget? h. as the project financial manager, what recommendations would you make?

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.