Ephraim Corporation acquired 80 percent of Lilac Corporation for $200,000 cash. Lilac reported net income of $25,000 each year and dividends of $5,000 each year for 20X2, 20X3, and 20X4. On January 1, 20X2, Lilac reported common stock outstanding of $160,000 and retained earnings of $40,000, and the fair value of the noncontrolling interest was $50,000. It held land with a book value of $90,000 and a market value of $100,000, and equipment with a book value of $40,000 and a market value of $48,000 at the date of combination. The remainder of the differential at acquisition was attributable to an increase in the value of patents, which had a remaining useful life of eight years. All depreciable assets held by Lilac at the date of acquisition had a remaining economic life of eight years. Ephraim uses the equity method in accounting for its investment in Lilac. Based on the preceding information, what balance would Ephraim report as its investment in Lilac at January 1, 20X5?

a. $236,000
b. $248,000
c. $260,000
d. $300,000

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.