A fund manager must decide how much money to invest in Aurora stock (A) and how much to invest in Parasa stock (P). One requirement is at least 60% of the money invested in the two companies' stock must be in Parasa stock.A correct modelling of this requirement is:Group of answer choices0.4A + 0.6P ≥ 0–0.4A + 0.6P ≥ 00.6A + 0.4P ≥ 0–0.6A + 0.4P ≥ 0
Question
A fund manager must decide how much money to invest in Aurora stock (A) and how much to invest in Parasa stock (P). One requirement is at least 60% of the money invested in the two companies' stock must be in Parasa stock.A correct modelling of this requirement is:Group of answer choices0.4A + 0.6P ≥ 0–0.4A + 0.6P ≥ 00.6A + 0.4P ≥ 0–0.6A + 0.4P ≥ 0
Solution 1
The correct modeling of this requirement is:
0.4A + 0.6P ≥ 0
Explanation:
The requirement is that at least 60% of the total investment must be in Parasa stock. This can be written as P ≥ 0.6 * (A + P).
If we rearrange this inequality to bring all terms to one side, we get:
0.4A - 0.6P ≤ 0
However, to match the format of the answer choices, we can multiply the entire inequality by -1 to get:
-0.4A + 0.6P ≥ 0
So, the correct answer is "0.4A + 0.6P ≥ 0".
Solution 2
The correct modeling of this requirement is:
-0.4A + 0.6P ≥ 0
Explanation:
The requirement is that at least 60% of the total investment must be in Parasa stock. This can be written as P ≥ 0.6 * (A + P).
If we rearrange this inequality to bring all terms to one side, we get:
P - 0.6A - 0.6P ≥ 0
Simplify it further, we get:
-0.4A + 0.6P ≥ 0
So, the correct answer is "-0.4A + 0.6P ≥ 0".
Solution 3
The correct modeling of this requirement is:
-0.4A + 0.6P ≥ 0
Explanation:
The requirement is that at least 60% of the total investment must be in Parasa stock. This can be written as P ≥ 0.6 * (A + P).
If we rearrange this inequality to bring all terms to one side, we get:
P - 0.6A - 0.6P ≥ 0
Simplify it further, we get:
-0.4A + 0.6P ≥ 0
So, the correct answer is "-0.4A + 0.6P ≥ 0".
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