A company is choosing between two projects. The larger project has an initial cost of $100,000, annual cash flows of $30,000 for 5 years, and an IRR of 15.24%. The smaller project has an initial cost of $51,600, annual cash flows of $16,000 for 5 years, and an IRR of 16.65%. The projects are equally risky. Which of the following statements is CORRECT?

a. Since the smaller project has the higher IRR, the two projects’ NPV profiles cannot cross, and the smaller project’s NPV will be higher at all positive values of WACC.

b. Since the smaller project has the higher IRR, the two projects’ NPV profiles will cross, and the larger project will look better based on the NPV at all positive values of WACC.

c. If the company uses the NPV method, it will tend to favor smaller, shorter-term projects over larger, longer-term projects, regardless of how high or low the WACC is.

d. Since the smaller project has the higher IRR but the larger project has the higher NPV at a zero discount rate, the two projects’ NPV profiles will cross, and the larger project will have the higher NPV if the WACC is less than the crossover rate.

e. Since the smaller project has the higher IRR and the larger NPV at a zero discount rate, the two projects’ NPV profiles will cross, and the smaller project will look better if the WACC is less than the crossover rate.

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.