Howard's Supply Co. suffered a fire loss on April 20, 2021. The company's last physical inventory was taken January 30, 2021, at which time the inventory totaled $226,000. Sales from January 30 to April 20 were $606,000 and purchases during that time were $456,000. Howard's consistently reports a 30% gross profit. The estimated inventory loss is: Multiple Choice

Uppose stanley's office supply purchases 50,000 boxes of pens every year. ordering costs are $100 per order and carrying costs are $0.40 per box. moreover, management has determined that the eoq is 5,000 boxes. the vendor now offers a quantity discount of $0.20 per box if the company buys pens in order sizes of 10,000 boxes. determine the before-tax benefit or loss of accepting the quantity discount. (assume the carrying cost remains at $0.40 per box whether or not the discount is taken.)

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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.