Grade 12 · Science
Explain a design choice using stated priorities
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Design A: performance 75, resource score 70. Design B: performance 80, resource score 40.
The stated rule is score = × performance + × resource score. Higher values are preferred for both measures. Which design has the higher score, or are they tied?
- There is not enough information to calculate the stated scores
- Design B
- A tie under this scoring rule
- Design A
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Design A
A scores × 75 + × 70 = 74. B scores × 80 + × 40 = 72. This rule gives design a; changing the weights could change the decision.
A little hint: Apply both weights to each design and compare totals; the result depends on the stated priorities.
Define each measure and whether a larger value is better before assigning weights.
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