You have $18,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 14 percent and Stock Y with an expected return of 11 percent. Assume your goal is to create a portfolio with an expected return of 12.45 percent. How much money will you invest in Stock X and Stock Y

Last week paul, ceo of quality furniture in south carolina, traveled to europe to visit customers. while overseas, paul checked his e-mail daily and showed his company's website to customers, explaining how the website will them place orders and receive merchandise more quickly. after visiting the last customer friday morning, paul was able to return to the corporate office in south carolina to meet with his board of directors that night. is the "shrinking" of time and space with air travel and electronic media.

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.

Ll companies has sales of $9,800, net income of $1,060, total assets of $8,950, and total debt of $4,760. assets and costs are proportional to sales. debt and equity are not. a dividend of $371 was paid, and the company wishes to maintain a constant payout ratio. next year's sales are projected to be $10,584. what is the amount of the external financing need?