ITPEC IP April 2026 Question 80
Company A performs analysis of its positioning against competitors. In order for Company A to obtain the best evaluation of all three (3) companies, what is the minimum number of points required in the brand evaluation item?
The minimum value of each evaluation item is one (1) point and the maximum value is ten points, and each company is evaluated by using the total value of each weighted evaluation item.
Explanation
8 points — Company A's weighted total must beat the higher of Company B's and Company C's.
Weighted totals (points × weight, with weights 1, 4, 3, 2):
- •Company B: 9×1 + 7×4 + 10×3 + 6×2 = 9 + 28 + 30 + 12 = 79
- •Company C: 6×1 + 9×4 + 7×3 + 10×2 = 6 + 36 + 21 + 20 = 83
- •Company A without brand: 10×1 + 10×4 + 6×3 = 10 + 40 + 18 = 68
With brand points x, Company A totals 68 + 2x. To beat C: 68 + 2x > 83, so x > 7.5, and the smallest whole number of points is 8, giving A a total of 84.
Answer (c)
Why not others:
- •(a) 6 and (b) 7 — give A 68 + 12 = 80 and 68 + 14 = 82, both still below C's 83
- •(d) 9 — A totals 86 and comes first, but 8 already suffices, so 9 is not the minimum
Key rule: In a weighted evaluation, compare with the strongest competitor's weighted total, solve the inequality for the unknown score, then round up to the next allowed point.
Business Strategy Management · AI-written, may contain errors
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