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The purpose of safety stock is to: a. eliminate the possibility of a stockout. b. control the likelihood of a stockout due to variable demand and/or lead time. c. eliminate the likelihood of a stockout due to erroneous inventory tally. d. protect the firm from a sudden decrease in demand. e. replace failed units with good ones.

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.

Levine inc., which produces a single product, has prepared the following standard cost sheet for one unit of the product. direct materials (9 pounds at $1.80 per pound) $16.20 direct labor (6 hours at $14.00 per hour) $84.00 during the month of april, the company manufactures 270 units and incurs the following actual costs. direct materials purchased and used (2,500 pounds) $5,000 direct labor (1,660 hours) $22,908 compute the total, price, and quantity variances for materials and labor.