In a Portfolio Problem, X1, X2, and X3 Represent the Number

question 40

Multiple Choice

In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, and 3, which have selling prices of $15, $47.25, and $110, respectively. The investor has up to $50,000 to invest.
-The stockbroker suggests limiting the investments so that no more than $10,000 is invested in stock 2 or the total number of shares of stocks 2 and 3 does not exceed 350, whichever is more restrictive. How would this be formulated as a linear programming constraint?

• A)
• \(\begin{array} { l }
• X _ { 2 } \leq 10000 \\
• X _ { 2 } + X _ { 3 } \leq 350
• \end{array}\)
• B) 10,000 X2 ? 350X2 + 350X3
• C)
• \(\begin{array} { l }
• 47.25 \mathrm { X } _ { 2 } \leq 10,000 \\
• \mathrm { X } _ { 2 } + \mathrm { X } _ { 3 } \leq 350
• \end{array}\)
• D)
• \(\begin{array} { l }
• 47.25 \mathrm { X } _ { 2 } \leq 10,000 \\
• 47.25 \mathrm { X } _ { 2 } + 110 \mathrm { X } _ { 3 } \leq 350
• \end{array}\)

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