ITPEC FE Morning April 2020 Question 63
The weighted comprehensive evaluation method is used to integrate and quantify the evaluation scores of multiple items for quantitatively evaluating the effect of improvements. Which of the following is the improvement proposal that should be prioritized in the table below?
Explanation
Proposal 2 — with a weighted total of 59, it scores highest once each item's score is multiplied by its weighting factor.
Multiply each score by the weight of its item (4, 3, 3) and add:
- •Proposal 1: 4 × 6 + 3 × 5 + 3 × 6 = 24 + 15 + 18 = 57
- •Proposal 2: 4 × 8 + 3 × 5 + 3 × 4 = 32 + 15 + 12 = 59
- •Proposal 3: 4 × 2 + 3 × 9 + 3 × 7 = 8 + 27 + 21 = 56
- •Proposal 4: 4 × 5 + 3 × 5 + 3 × 6 = 20 + 15 + 18 = 53
Answer (b)
Why not others:
- •(a) Proposal 1 — 57, second place; it matches Proposal 2 on time frame but loses 2 points on labour savings, the heaviest item
- •(c) Proposal 3 — adding the raw scores without weights (2 + 9 + 7 = 18) puts it first, but its weak labour savings count four times, leaving 56
- •(d) Proposal 4 — 53, the lowest total
Key rule: In a weighted evaluation, multiply before you add; the item with the largest weight can reverse a ranking that the unweighted sums suggest.
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