“Conflict” is a struggle between opposing _______

Questions

"Cоnflict" is а struggle between оppоsing _______

"Cоnflict" is а struggle between оppоsing _______

The Dаytоnа 500 rаcetrack in Flоrida has sоme of the best pit-crews in the world to service cars as they race for NASCAR. Each pit crew in NASCAR can contain up to 8 crew members, but only 5 are allowed in the pit at any time. In this scenario, the cars, as they stop, line up and have a crew member assigned. The crew members do not have the same service speed (see table below), but you should assume that all crew members can service a car in full regardless of title (meaning cars do not need to visit all crew members, they are serviced by 1 as they are assigned). Crew Member Pit Speed Jackman 1 car per 5 min Tire Changer 10 cars per hour Gasman 30 cars per 2 min Utility Man 7 cars per 15 min Tire Carrier 5 cars per hour The pit-stop area (nicknamed Tartarus) is where each car is assigned a crew member and are serviced from left to right (meaning the first car is serviced first, then the 2nd car and so on). 5a. How many cars can the entire crew serve in 1 hour? (5pts) [PartA] 5b. Identify the order of which the crew members should be placed in the pit (1st, 2nd, 3rd, 4th, 5th). (5pts) [PartB1st] , [PartB2nd] , [PartB3rd] , [PartB4th] , [PartB5th] 5c. Identify which crew member is the bottleneck for the whole pit. (3pts) [PartC]5d. Identify each range of cars the crew members will work when the pit-stop system reaches steady state (REMEMBER: Cars arrive right to left). Please show all work on scrap paper. (10pts) [PartD]

A brаnch оffice оf а teleheаlth grоup associated with a large behavioral health program has one case management software platform connected to an online system and is available for 8 hours each day. Clinicians, who work throughout the valley, drive to the branch office to use the software program to document their client interactions and submit billing codes. The arrival pattern of clinicians is random (Poisson) with an average of 20 clinicians per day. The distribution of time spent by a clinician at the branch office is exponential with an average time of 20 minutes. The director of behavioral health services is concerned that the length of time many of the clinicians must wait to use the case management software at the branch office (there is only 1 terminal) is long. The branch manager has received complaints from clinicians about the length of time many of them wait to use the software. The manager has asked for your help in determining if it would be best to purchase more access terminals for clinicians to use. The manager states that they do not want the clinicians to wait longer than 25 minutes to use the software. Answer the questions below to determine what the manager should do. a. What is the current utilization rate of the software? Please round your answer to 3 decimal places (#.###) (2pts) [PartA] b. On average, how long does a clinician spend at the branch office? Please express your numerical answer with units (e.g., 1 hour, 2 days, etc.) (2pts) [PartB] c. On average, how many clinicians wait in the queue and for how long? Please round both answers to 3 decimal places (#.### clinitians, #.### hours) (6pts) [PartC1-NumberOfClinitians] [PartC2-LengthInQueue] d. If you purchased a second terminal, what would be the new utilization rate and wait time at the branch office? Please round both answers to 3 decimal places (#.###, #.### hours) (6pts) [PartD1-NewUtilRate] [PartD2-NewWaitTime] e. Would you recommend adding terminals, yes or no, and why? If yes, how many? (Hint: Compare the scenarios of without extra terminals vs with extra terminals). Please indicate yes/no/maybe here and discuss why and if yes, how many on your scratch paper. (3pts) [PartE] f. Consider the scenario where the telehealth group incurs a cost for each clinician that waits to use the terminal. Given that clinicians are highly compensated, the penalty cost is $10 per hour per clinician. Additionally, you know that a new terminal will cost $100,000 to implement and $65,000 per year in operating costs (the salary of the additional technician needed to maintain it). Conduct a cost benefit analysis to determine if adding a second terminal is cost effective. Knowing what you do about how the additional terminal reduces the clinicians’ waiting time, would you still recommend the additional terminal given what you found the cost to be? (HINT: compare the hourly costs in the 2 scenarios – With 1 terminal & With 2 terminals). Please indicate yes/no/maybe here and discuss why and show your analysis on your scrap paper. (6pts) [PartF]