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Sagot :
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.
### 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.
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