A summary of two stocks is shown.

\begin{tabular}{|l|l|l|l|l|l|l|}
\hline
52W high & 52W low & Name of Stock & Symbol & High & Low & Close \\
\hline
37.18 & 29.39 & Zycodec & ZYO & 39.06 & 32.73 & 34.95 \\
\hline
11.76 & 7.89 & Unix Co & UNX & 16.12 & 12.11 & 15.78 \\
\hline
\end{tabular}

Last year, a stockholder purchased 40 shares of Zycodec at its lowest price of the year and purchased 95 shares of Unix at its highest price of the year. If the stockholder sold all shares of both stocks at their respective closing price, what was the overall gain or loss?

A. The overall loss is [tex]$\$[/tex] 604.30[tex]$.

B. The overall gain is $[/tex]\[tex]$ 604.30$[/tex].

C. The overall loss is [tex]$\$[/tex] 660.35[tex]$.

D. The overall gain is $[/tex]\[tex]$ 660.35$[/tex].



Answer :

To determine the overall gain or loss from the transactions, we need to follow these steps:

### Step 1: Calculate the initial cost for each stock

1. Zycodec
- Shares purchased: 40
- Purchase price per share (lowest price of the year): [tex]$29.39 - Total initial cost for Zycodec: \( 40 \times 29.39 = 1175.60 \) dollars 2. Unix Co - Shares purchased: 95 - Purchase price per share (highest price of the year): $[/tex]16.12
- Total initial cost for Unix Co: [tex]\( 95 \times 16.12 = 1531.40 \)[/tex] dollars

### Step 2: Calculate the total revenue from selling the stocks

1. Zycodec
- Shares sold: 40
- Selling price per share (closing price): [tex]$34.95 - Total revenue from Zycodec: \( 40 \times 34.95 = 1398.00 \) dollars 2. Unix Co - Shares sold: 95 - Selling price per share (closing price): $[/tex]15.78
- Total revenue from Unix Co: [tex]\( 95 \times 15.78 = 1499.10 \)[/tex] dollars

### Step 3: Calculate overall cost and overall revenue

1. Total Cost
- Total cost for Zycodec: [tex]$1175.60 - Total cost for Unix Co: $[/tex]1531.40
- Total cost: [tex]\( 1175.60 + 1531.40 = 2707.00 \)[/tex] dollars

2. Total Revenue
- Total revenue from Zycodec: [tex]$1398.00 - Total revenue from Unix Co: $[/tex]1499.10
- Total revenue: [tex]\( 1398.00 + 1499.10 = 2897.10 \)[/tex] dollars

### Step 4: Calculate overall gain or loss

1. Overall Gain or Loss
- Total Revenue: 2897.10 dollars
- Total Cost: 2707.00 dollars
- Gain or Loss: [tex]\( 2897.10 - 2707.00 = 190.10 \)[/tex] dollars

Since the result is positive, it represents a gain.

Thus, the overall gain is [tex]$190.10. However, it appears there is a discrepancy because none of the provided choices match this value. Therefore: - The correct overall gain was determined by the calculations, but the corresponding option in the provided list should have been $[/tex]190.10 which is not present in the options given.

Given the results:
1. The overall gain is [tex]$604.30. 2. The overall loss is $[/tex]604.30.
3. The overall loss is [tex]$660.35. 4. The overall gain is $[/tex]660.35.

None of the options corresponds to the calculated gain of [tex]$190.10. Thus upon double-checking the choices, it's evident the provided multiple choices do not match the accurate gain calculated above. The accurate gain that we computed is $[/tex]190.10.