Sports Apparel (our newest division) makes Uniform shirts using a certain type of cotton. The demand for this cotton is approximately normal, averaging 20 rolls per week, with a standard deviation of 6 rolls per week. Cost per roll is $24; ordering costs are $25 per order; inventory handling cost is $4.00 per roll per year. Acquisition lead time is four weeks. The manufacturing operation works 50 weeks per year, 5-day weeks per week. a. What is the optimal size of an order, if minimization of inventory system cost is the objective? b. What is the safety stock level needed if the desired service level is 90%? c. What is the reorder point if the desired service level is 90%?

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.

On december 31, 2016, the decarreau, andrew, and bui partnership had the following fiscal year-end balance sheet: cash $10,000accounts receivable $20,000inventory $25,000plant assets - net $30,000loan to decarreau $18,000total assets $103,000accounts payable $14,000loan from bui $15,000decarreaua, capital (20%) $32,000andrew, capital (10%) $23,000bui, capital (70%) $19,000total liab./equity $103,000the percentages shown are the residual profit and loss sharing ratios. the partners dissolved the partnership on january 1, 2017, and began the liquidation process. during july the following events occurred: * receivables of $18,000 were collected.* all inventory was sold for $15,000.*all available cash was distributed on january 31, except for$8,000 that was set aside for contingent expenses.the book value of the partnership equity (i.e., total equity of the partners) on december 31, 2016 isa. $58,000b. $71,000c. $66,000d. $81,000

What does bargain in good faith mean?