Let's solve this problem step-by-step.
1. Identifying the Initial Purchase Price Per Share:
- The closing price of a share today is [tex]$200.43.
- The net change indicates how much the price has increased since yesterday. Given that the net change is $[/tex]13.74, we determine the initial (yesterday's) purchase price by subtracting the net change from today's closing price:
[tex]\[
\text{Initial Purchase Price Per Share} = 200.43 - 13.74 = 186.69
\][/tex]
2. Calculating the Total Purchase Amount:
- You have 459 shares.
- To find the total amount spent to purchase these shares, multiply the initial purchase price per share by the number of shares:
[tex]\[
\text{Purchase Amount} = 186.69 \times 459 = 85690.71
\][/tex]
3. Calculating the Total Selling Amount:
- The shares were sold at today’s closing price of [tex]$200.43 per share.
- To determine the total amount received from selling these 459 shares, multiply the selling price per share by the number of shares:
\[
\text{Selling Amount} = 200.43 \times 459 = 91997.37
\]
4. Calculating the Profit:
- Profit is calculated by subtracting the purchase amount from the selling amount:
\[
\text{Profit} = \text{Selling Amount} - \text{Purchase Amount} = 91997.37 - 85690.71 = 6306.66
\]
So, the profit made from selling the shares is $[/tex]\[tex]$6,306.66$[/tex].
Among the given choices, the best answer is:
d. \$6306.66
