Let’s analyze this step-by-step to determine the correct day by examining the changes in the total value of the purchased stocks over the given days.
### Closing Prices and Shares
- Metropolis, Ltd (MTP): Closing Prices are [tex]$17.95, $[/tex]18.73, and [tex]$19.06 for Days 1, 2, and 3 respectively.
- Suburbia, Inc (SBR): Closing Prices are $[/tex]5.63, [tex]$5.05, and $[/tex]5.41 for Days 1, 2, and 3 respectively.
- Number of shares purchased: 40 shares of Metropolis and 70 shares of Suburbia.
### Calculating Total Value for Each Day
1. Day 1:
[tex]\[
\text{Total value} = (17.95 \times 40) + (5.63 \times 70) = 718.0 + 394.1 = 1112.1
\][/tex]
2. Day 2:
[tex]\[
\text{Total value} = (18.73 \times 40) + (5.05 \times 70) = 749.2 + 353.5 = 1102.7
\][/tex]
3. Day 3:
[tex]\[
\text{Total value} = (19.06 \times 40) + (5.41 \times 70) = 762.4 + 378.7 = 1141.1
\][/tex]
### Calculating Change in Total Value
1. From Day 1 to Day 2:
[tex]\[
\text{Change} = 1102.7 - 1112.1 = -9.4
\][/tex]
2. From Day 1 to Day 3:
[tex]\[
\text{Change} = 1141.1 - 1112.1 = 29.0
\][/tex]
### Conclusion
Comparing the changes in total value:
- Day 2 has a change of [tex]\( -9.4 \)[/tex] (a decrease of [tex]$9.40).
- Day 3 has a change of \( 29.0 \) (an increase of $[/tex]29.00).
Thus, the best day to evaluate the portfolio value during the subsequent two days is Day 3, with a gain of [tex]$29.00.
### Answer
Day 3 is the best by $[/tex]\[tex]$ 29.00$[/tex].
