Question

description\tweight\tnumber of errors
complaints reopened\t3\t145
damaged packages\t10\t20
international\t1\t103
invoice adjustments\t1\t286
late pickup stops\t3\t204
lost packages\t10\t1
missed proof of delivery\t1\t26
right date late\t1\t747
traces\t3\t110
wrong day late\t5\t20

compute the service quality indicator by finding the weighted sum of errors as a percentage of total shipments. do not round intermediate calculations. round your answer to three decimal places.

service quality indicator (sqi): □ %

Explanation:

Step1: Calculate weighted errors for each item

For Complaints reopened: $3\times145 = 435$
For Damaged packages: $10\times20 = 200$
For International: $1\times103 = 103$
For Invoice adjustments: $1\times286 = 286$
For Late pickup stops: $3\times204 = 612$
For Lost packages: $10\times1 = 10$
For Missed proof of delivery: $1\times26 = 26$
For Right date late: $1\times747 = 747$
For Traces: $3\times110 = 330$
For Wrong day late: $5\times20 = 100$

Step2: Sum all weighted errors

Total weighted errors = $435 + 200 + 103 + 286 + 612 + 10 + 26 + 747 + 330 + 100$
$= 435+200=635; 635+103=738; 738+286=1024; 1024+612=1636; 1636+10=1646; 1646+26=1672; 1672+747=2419; 2419+330=2749; 2749+100=2849$

Step3: Sum total shipments (sum of number of errors)

Total shipments = $145 + 20 + 103 + 286 + 204 + 1 + 26 + 747 + 110 + 20$
$=145+20=165; 165+103=268; 268+286=554; 554+204=758; 758+1=759; 759+26=785; 785+747=1532; 1532+110=1642; 1642+20=1662$

Step4: Calculate SQI as (weighted errors / total shipments) × 100

SQI = $\frac{2849}{1662} \times 100 \approx 171.419976$ (rounded to three decimal places: 171.420)

Answer:

171.420