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A summary of two stocks is shown.

\begin{tabular}{|c|l|l|l|l|}
\hline Name of Stock & Symbol & Closing Price Day 1 & Closing Price Day 2 & Closing Price Day 3 \\
\hline Unix Co & UNX & 8.15 & 8.78 & 8.06 \\
\hline Cubix Inc & CBX & 15.65 & 16.92 & 14.35 \\
\hline
\end{tabular}

Suppose you purchase 65 shares of Unix stock and 50 shares of Cubix stock on Day 1 at the closing price. Which day during the following two days would be best to sell both stocks on, and by how much?

A. Day 2 is the best by [tex]$\$[/tex] 104.45[tex]$.
B. Day 3 is the best by $[/tex]\[tex]$ 104.45$[/tex].
C. Day 2 is the best by [tex]$\$[/tex] 70.85[tex]$.
D. Day 3 is the best by $[/tex]\[tex]$ 70.85$[/tex].

Sagot :

GinnyAnsweridn
To solve this problem, we need to determine which day provides the highest profit when selling the stocks compared to the initial investment on Day 1. Follow these steps:

### Step 1: Calculate the Initial Investment

First, calculate the total cost of purchasing 65 shares of Unix Co and 50 shares of Cubix Inc on Day 1.

- Unix Co (UNX)
- Price per share on Day 1: \[tex]$8.15 - Number of shares: 65 - Total cost for Unix Co: \( 65 \times 8.15 = \$[/tex]529.75 \)

- Cubix Inc (CBX)
- Price per share on Day 1: \[tex]$15.65 - Number of shares: 50 - Total cost for Cubix Inc: \( 50 \times 15.65 = \$[/tex]782.50 \)

- Total Initial Investment
- [tex]\( 529.75 + 782.50 = \$1312.25 \)[/tex]

### Step 2: Calculate the Total Value on Day 2

Next, calculate the total value of the investment on Day 2.

- Unix Co on Day 2
- Price per share: \[tex]$8.78 - Total value: \( 65 \times 8.78 = \$[/tex]570.70 \)

- Cubix Inc on Day 2
- Price per share: \[tex]$16.92 - Total value: \( 50 \times 16.92 = \$[/tex]846.00 \)

- Total Value on Day 2
- [tex]\( 570.70 + 846.00 = \$1416.70 \)[/tex]

### Step 3: Calculate the Total Value on Day 3

Then, calculate the total value of the investment on Day 3.

- Unix Co on Day 3
- Price per share: \[tex]$8.06 - Total value: \( 65 \times 8.06 = \$[/tex]523.90 \)

- Cubix Inc on Day 3
- Price per share: \[tex]$14.35 - Total value: \( 50 \times 14.35 = \$[/tex]717.50 \)

- Total Value on Day 3
- [tex]\( 523.90 + 717.50 = \$1241.40 \)[/tex]

### Step 4: Calculate the Profit/Loss for Day 2 and Day 3

Finally, determine the profit or loss for each day by comparing the total value with the initial investment.

- Profit on Day 2
- [tex]\( 1416.70 - 1312.25 = \$104.45 \)[/tex]

- Profit on Day 3
- [tex]\( 1241.40 - 1312.25 = -\$70.85 \)[/tex]

### Conclusion: Best Day to Sell

Comparing the profits:
- Selling on Day 2 results in a profit of \[tex]$104.45. - Selling on Day 3 results in a loss of \$[/tex]70.85.

Thus, the best day to sell both stocks is Day 2, providing a profit of \[tex]$104.45. ### Final Answer From the given options: - Day 2 is the best by \$[/tex]104.45.
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