Problem $1$: Processing Insurance Claims

Suppose that processing standard insurance claims involves three primary steps $($which we will call steps A$,$ B$,$ and C$).$ Employees work in parallel on separate insurance claims at each step.each employee works on only one process step. The following table shows the number of people working on each step, and processing time per person:Process, Step, Number ofemployees, Time Required per Employee

A $4010$ minutes

B $104$ minutes

C $306$ minutes

a$)$ Find the raw process time for an insurance claim. Identify the items, resources, and draw flow chart.

B$.$ Find the capacity of each step and identify the bottleneck step. What is the capacity of the system in claims per minute?

problem $2$: Beach Mountain Ski Area has a single chairlift for transporting skiers from the bottom to the top of the mountain. A chairlift continuously takes skiers up a mountain somewhat like an escalator. When the chairlift is full $($no empty chairs going up the hill$)$ there are $100$ people on it$.$ You may assume that the chairlift is full for all three questions $($a to c$)$ of this problem. The ride up the mountain $($one$-$way$)$ takes $5$ minutes. There are $500$ skiers at the mountain meaning that they are either a$)$ waiting for the chairlift, b$)$ riding on the chairlift, or c$)$ skiing down the mountain. See the diagram below. For this problemassume no skier waits at the top of the mountain after he$/$she gets off the lift and assume no skier is in the lodge having lunch, drinking beer, etc.Billy, the owner of the mountain, has determined that on average a $3-$minute wait for the chairlift represents a reasonable level of customer service What is the throughput of the chairlift? Compute your answer in skiers$/$hour$.$

Hint: It might be useful to identify what you know and what you don$$t know by using the following table.

Flow units

Start$/$end of system

Throughput $($R$)$

Flow time $($T$)$

Stock $($I$)$

b$)$ It takes $15$ minutes on average for a skier to ski down the mountain. On average how many people are $$skiing down the mountain$$ at any given time?

C$.$Does the system satisfy Billy$$s $3-$minute waiting time criterion?