Question

An insurance company processes 900 claims per year. Assume 50 weeks per year. The average processing time for a claim is 8 weeks. 30 % of all claims received are car insurance claims, 40 % of all claims received are motorcycle insurance claims, 25 % are boat insurance claims, and the remaining are house insurance claims. Hint: These are throughput values. On average, there are 27 cars, 15 motorcycles, 48 boats, and some house claims in process. Hint: These are inventory values.

1. What is the average number of claims that are in process?

c. around 120 claims

b. around 108 claims

a. around 96 claims

e. around 165 claims

d. around 144 claims



2. How many house insurance claims are in process?

e. around 75 claims

d. around 59 claims

a. around 45 claims

c. around 54 claims

b. around 50 claims



3. How long, on average, does it take to process a car insurance claim?

a. around 2.4 weeks

d. around 5.0 weeks

b. around 3.0 weeks

c. around 4.0 weeks

e. around 6.5 weeks



4. How long, on average, does it take to process a house insurance claim?

c. around 60 weeks

a. around 36 weeks

e. around 86 weeks

b. around 45 weeks

d. around 192 weeks

Answer 1

Explanation:

1. The average number of claims

= Claim processing ÷ weeks per year × claim weeks

= 900 ÷ 50 × 8

= 144  claims

2. The average number of house to be claimed

= Claim processing - cars - motorcycle - boats

= 144 - 27 - 15 - 58

= 54  claims

3. The average time

= Claim processing ÷ weeks per year

= 900 claims ÷ 50 weeks

= 18

Per week = 18 × 0.3

= 5.4

So, average time = Cars ÷ Per week

= 27 ÷ 5.4

= 5 weeks

4. The average time

Claimed house = 1 - car insurance claim - motorcycle insurance claims - boat insurance claims

= 1 - 0.3 - 0.4 - 0.25

= 0.05

So, Average time = 54 ÷ (0.05 × 18)

= 54 ÷ 0.9

= 60 weeks