Let A, B, and C be the amounts invested in companies A, B, and C. If no more than 60% of the total investment can be in company B, thenGroup of answer choices-0.6A + 0.4B − 0.6C ≤ 0A − 0.6B + C ≤ 00.6A − B − 0.6C ≤ 0A − 0.4B + C ≤ 0
Question
Let A, B, and C be the amounts invested in companies A, B, and C. If no more than 60% of the total investment can be in company B, thenGroup of answer choices-0.6A + 0.4B − 0.6C ≤ 0A − 0.6B + C ≤ 00.6A − B − 0.6C ≤ 0A − 0.4B + C ≤ 0
Solution 1
The correct modeling of this requirement is:
0.6A - B + 0.6C ≥ 0
Explanation:
The requirement is that no more than 60% of the total investment can be in company B. This can be written as B ≤ 0.6 * (A + B + C).
If we rearrange this inequality to bring all terms to one side, we get:
0.6A - B + 0.6C ≥ 0
So, the correct answer is "0.6A - B + 0.6C ≥ 0".
Solution 2
The correct modeling of this requirement is:
A - 0.6B + C ≥ 0
Explanation:
The requirement is that no more than 60% of the total investment can be in company B. This can be written as B ≤ 0.6 * (A + B + C).
If we rearrange this inequality to bring all terms to one side, we get:
A - 0.6B + C - 0.6A - 0.6C ≥ 0
Simplify it further, we get:
A - 0.6B + C ≥ 0
So, the correct answer is "A - 0.6B + C ≥ 0".
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