Hong Securities Has $300,000 to Invest in Four Stocks and Three

question 16

Multiple Choice

Hong Securities has $300,000 to invest in four stocks and three bonds.X₁, X₂, X₃, and X₄ denote the amounts invested in each of the stocks, and Y₁, Y₂, and Y₃ equal the amounts invested in each of the three bonds.Which of the following shows that at least 40% of the investment in stocks must be in stock 1?

• A)X₁ \(\ge\) 120,000
• B)X₁ - .4X₂ -.4X₃ - .4X₄ \(\ge\) 0
• C).6X₁ - .4X₂ - .4X₃ - .4X₄ \(\ge\) 0
• D)X₁ \(\ge\) .4(X₂ + X₃ + X₄ + Y₁ + Y₂ + Y₃)

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