A, B & C are the amounts invested in shares A, B & C. If no more than 20% of the total investment can be in B, thenYou Answered B ≤ 0.2 A − 0.8B + C ≤ 0 0.2A − B − 0.2C ≤ 0 Correct Answer −0.2A + 0.8B − 0.2C ≤ 0
Question
A, B & C are the amounts invested in shares A, B & C. If no more than 20% of the total investment can be in B, thenYou Answered B ≤ 0.2 A − 0.8B + C ≤ 0 0.2A − B − 0.2C ≤ 0 Correct Answer −0.2A + 0.8B − 0.2C ≤ 0
Solution
The correct answer is "−0.2A + 0.8B − 0.2C ≤ 0."
Explanation:
The condition "no more than 20% of the total investment can be in B" can be translated into the equation B ≤ 0.2 * (A + B + C).
If we rearrange this equation to bring all terms to one side, we get 0.2A - 0.8B + 0.2C ≥ 0.
However, in standard form for linear programming constraints, inequalities are typically written with a "≤" sign. So, we multiply the entire inequality by -1 to get -0.2A + 0.8B
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