According to the provisions outlined in the contract between kranfer inc. and its labor union, kranfer must pay its employees double for working overtime. however, due to financial constraints, the company is unable to meet these demands. the company and the union decide to negotiate the terms of the contract in a relatively informal manner. a non-authoritative third party is invited to listen to the views of both sides and to resolve the conflict. in the context of the alternatives to work stoppages, the third party in this scenario is an example of a(n)

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

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.

As a result of a thorough physical inventory, waterway company determined that it had inventory worth $320200 at december 31, 2020. this count did not take into consideration the following facts: walker consignment currently has goods worth $47400 on its sales floor that belong to waterway but are being sold on consignment by walker. the selling price of these goods is $75900. waterway purchased $21900 of goods that were shipped on december 27, fob destination, that will be received by waterway on january 3. determine the correct amount of inventory that waterway should report.