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Sagot :
To determine which website has more user engagement per a single dollar expense, we need to consider two different definitions of user engagement per expense.
1. Total User Engagement per Dollar Expense:
This definition measures how much engagement (likes, comments, and subscribers combined) each website generates for each dollar spent. We will calculate this as follows:
[tex]\[ \text{Engagement per Dollar} = \frac{\text{Total Engagement (Likes + Comments + Subscribers)}}{\text{Expenses}} \][/tex]
Let's apply this to both websites:
- Website A:
[tex]\[ \text{Total Engagement} = \text{Likes (3500)} + \text{Comments (500)} + \text{Subscribers (9000)} = 13000 \][/tex]
[tex]\[ \text{Engagement per Dollar for Website A} = \frac{13000}{20000} \approx 0.65 \][/tex]
- Website B:
[tex]\[ \text{Total Engagement} = \text{Likes (3500)} + \text{Comments (450)} + \text{Subscribers (20000)} = 23950 \][/tex]
[tex]\[ \text{Engagement per Dollar for Website B} = \frac{23950}{47000} \approx 0.5096 \][/tex]
Thus, for total user engagement per dollar:
- Website A has an engagement of approximately 0.65 per dollar.
- Website B has an engagement of approximately 0.5096 per dollar.
2. Total User Engagement per Post per Dollar Expense:
This definition measures how much engagement each post generates for each dollar spent on the website. We will calculate this as follows:
[tex]\[ \text{Engagement per Post per Dollar} = \frac{\text{Total Engagement}}{\text{Number of Posts} \times \text{Expenses}} \][/tex]
Let's apply this to both websites:
- Website A:
[tex]\[ \text{Engagement per Post per Dollar for Website A} = \frac{13000}{110 \times 20000} \approx 0.005909 \][/tex]
- Website B:
[tex]\[ \text{Engagement per Post per Dollar for Website B} = \frac{23950}{200 \times 47000} \approx 0.002548 \][/tex]
Thus, for total user engagement per post per dollar:
- Website A has an engagement of approximately 0.005909 per post per dollar.
- Website B has an engagement of approximately 0.002548 per post per dollar.
In summary, the two definitions of user engagement per dollar expense that Charlotte should consider are:
1. Total User Engagement per Dollar Expense
2. Total User Engagement per Post per Dollar Expense
Based on these calculations, Website A performs better in both metrics compared to Website B.
1. Total User Engagement per Dollar Expense:
This definition measures how much engagement (likes, comments, and subscribers combined) each website generates for each dollar spent. We will calculate this as follows:
[tex]\[ \text{Engagement per Dollar} = \frac{\text{Total Engagement (Likes + Comments + Subscribers)}}{\text{Expenses}} \][/tex]
Let's apply this to both websites:
- Website A:
[tex]\[ \text{Total Engagement} = \text{Likes (3500)} + \text{Comments (500)} + \text{Subscribers (9000)} = 13000 \][/tex]
[tex]\[ \text{Engagement per Dollar for Website A} = \frac{13000}{20000} \approx 0.65 \][/tex]
- Website B:
[tex]\[ \text{Total Engagement} = \text{Likes (3500)} + \text{Comments (450)} + \text{Subscribers (20000)} = 23950 \][/tex]
[tex]\[ \text{Engagement per Dollar for Website B} = \frac{23950}{47000} \approx 0.5096 \][/tex]
Thus, for total user engagement per dollar:
- Website A has an engagement of approximately 0.65 per dollar.
- Website B has an engagement of approximately 0.5096 per dollar.
2. Total User Engagement per Post per Dollar Expense:
This definition measures how much engagement each post generates for each dollar spent on the website. We will calculate this as follows:
[tex]\[ \text{Engagement per Post per Dollar} = \frac{\text{Total Engagement}}{\text{Number of Posts} \times \text{Expenses}} \][/tex]
Let's apply this to both websites:
- Website A:
[tex]\[ \text{Engagement per Post per Dollar for Website A} = \frac{13000}{110 \times 20000} \approx 0.005909 \][/tex]
- Website B:
[tex]\[ \text{Engagement per Post per Dollar for Website B} = \frac{23950}{200 \times 47000} \approx 0.002548 \][/tex]
Thus, for total user engagement per post per dollar:
- Website A has an engagement of approximately 0.005909 per post per dollar.
- Website B has an engagement of approximately 0.002548 per post per dollar.
In summary, the two definitions of user engagement per dollar expense that Charlotte should consider are:
1. Total User Engagement per Dollar Expense
2. Total User Engagement per Post per Dollar Expense
Based on these calculations, Website A performs better in both metrics compared to Website B.
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