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Charlotte owns two entertainment websites. Here are some details about those websites for one entire month:





Website A
Website B


Number of writers
5
11


Number of posts posted
110
200


Average number of words of post
100
170


Average likes per post
3500
3500


Average comments per post
500
450


Number of new subscribers
9000
20,000


Revenue

$30,000

$75,000


Expenses

$20,000

$47,000


Profit (Revenue-Expenses)

$10,000

$28,000




Charlotte wants to know which website generates more revenue per amount of content.

Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.

Charlotte owns two entertainment websites. Here are some details about those websites for one entire month:\newline\begin{tabular}{lcc} \newline& Website A & Website B \\\newline\hline Number of writers & 55 & 1111 \\\newlineNumber of posts posted & 110110 & 200200 \\\newlineAverage number of words of post & 100100 & 170170 \\\newlineAverage likes per post & 35003500 & 35003500 \\\newlineAverage comments per post & 500500 & 450450 \\\newlineNumber of new subscribers & 90009000 & 2020,000000 \\\newlineRevenue & $30,000 \$ 30,000 & $75,000 \$ 75,000 \\\newlineExpenses & $20,000 \$ 20,000 & $47,000 \$ 47,000 \\\newlineProfit (Revenue-Expenses) & $10,000 \$ 10,000 & $28,000 \$ 28,000 \newline\end{tabular}\newlineCharlotte wants to know which website generates more revenue per amount of content.\newline11) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.

Full solution

Q. Charlotte owns two entertainment websites. Here are some details about those websites for one entire month:\newline\begin{tabular}{lcc} \newline& Website A & Website B \\\newline\hline Number of writers & 55 & 1111 \\\newlineNumber of posts posted & 110110 & 200200 \\\newlineAverage number of words of post & 100100 & 170170 \\\newlineAverage likes per post & 35003500 & 35003500 \\\newlineAverage comments per post & 500500 & 450450 \\\newlineNumber of new subscribers & 90009000 & 2020,000000 \\\newlineRevenue & $30,000 \$ 30,000 & $75,000 \$ 75,000 \\\newlineExpenses & $20,000 \$ 20,000 & $47,000 \$ 47,000 \\\newlineProfit (Revenue-Expenses) & $10,000 \$ 10,000 & $28,000 \$ 28,000 \newline\end{tabular}\newlineCharlotte wants to know which website generates more revenue per amount of content.\newline11) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.
  1. Calculate Revenue per Post Website A: Charlotte could define "revenue per amount of content" based on the number of posts posted on each website. To calculate this, we would divide the total revenue by the number of posts for each website.\newlineFor Website A:\newlineRevenue per post = Revenue / Number of posts posted\newlineRevenue per post = $30,000110\frac{\$30,000}{110}
  2. Calculate Revenue per Post Website B: Now we perform the calculation for Website A:\newlineRevenue per post for Website A = $30,000/110\$30,000 / 110\newlineRevenue per post for Website A = $272.73\$272.73 approximately
  3. Calculate Total Word Count Website A: Next, we calculate the revenue per post for Website B using the same method:\newlineRevenue per post = Revenue / Number of posts posted\newlineRevenue per post = $75,000/200\$75,000 / 200
  4. Calculate Revenue per Word Website A: Now we perform the calculation for Website B:\newlineRevenue per post for Website B = $75,000/200\$75,000 / 200\newlineRevenue per post for Website B = $375\$375
  5. Calculate Total Word Count Website B: Charlotte could also define "revenue per amount of content" based on the total word count of all posts on each website. To calculate this, we would multiply the number of posts by the average number of words per post to get the total word count, and then divide the revenue by the total word count.\newlineFor Website A:\newlineTotal word count == Number of posts posted ×\times Average number of words per post\newlineTotal word count =110×100= 110 \times 100
  6. Calculate Revenue per Word Website B: Now we calculate the total word count for Website A:\newlineTotal word count for Website A = 110×100110 \times 100\newlineTotal word count for Website A = 11,00011,000 words
  7. Calculate Revenue per Word Website B: Now we calculate the total word count for Website A:\newlineTotal word count for Website A = 110×100110 \times 100\newlineTotal word count for Website A = 11,00011,000 wordsNext, we calculate the revenue per word for Website A:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $30,000/11,000\$30,000 / 11,000
  8. Calculate Revenue per Word Website B: Now we calculate the total word count for Website A:\newlineTotal word count for Website A = 110×100110 \times 100\newlineTotal word count for Website A = 11,00011,000 wordsNext, we calculate the revenue per word for Website A:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $30,000/11,000\$30,000 / 11,000Now we perform the calculation for Website A:\newlineRevenue per word for Website A = $30,000/11,000\$30,000 / 11,000\newlineRevenue per word for Website A = $2.73\$2.73 approximately
  9. Calculate Revenue per Word Website B: Now we calculate the total word count for Website A:\newlineTotal word count for Website A = 110×100110 \times 100\newlineTotal word count for Website A = 11,00011,000 wordsNext, we calculate the revenue per word for Website A:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $30,000/11,000\$30,000 / 11,000Now we perform the calculation for Website A:\newlineRevenue per word for Website A = $30,000/11,000\$30,000 / 11,000\newlineRevenue per word for Website A = $2.73\$2.73 approximatelyWe repeat the process for Website B:\newlineTotal word count = Number of posts posted ×\times Average number of words per post\newlineTotal word count = 200×170200 \times 170
  10. Calculate Revenue per Word Website B: Now we calculate the total word count for Website A:\newlineTotal word count for Website A = 110×100110 \times 100\newlineTotal word count for Website A = 11,00011,000 wordsNext, we calculate the revenue per word for Website A:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $30,000/11,000\$30,000 / 11,000Now we perform the calculation for Website A:\newlineRevenue per word for Website A = $30,000/11,000\$30,000 / 11,000\newlineRevenue per word for Website A = $2.73\$2.73 approximatelyWe repeat the process for Website B:\newlineTotal word count = Number of posts posted ×\times Average number of words per post\newlineTotal word count = 200×170200 \times 170Now we calculate the total word count for Website B:\newlineTotal word count for Website B = 200×170200 \times 170\newlineTotal word count for Website B = 34,00034,000 words
  11. Calculate Revenue per Word Website B: Now we calculate the total word count for Website A:\newlineTotal word count for Website A = 110×100110 \times 100\newlineTotal word count for Website A = 11,00011,000 wordsNext, we calculate the revenue per word for Website A:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $\$3030,000000 / 11,00011,000Now we perform the calculation for Website A:\newlineRevenue per word for Website A = $\$3030,000000 / 11,00011,000\newlineRevenue per word for Website A = $\$22.7373 approximatelyWe repeat the process for Website B:\newlineTotal word count = Number of posts posted ×\times Average number of words per post\newlineTotal word count = 200×170200 \times 170Now we calculate the total word count for Website B:\newlineTotal word count for Website B = 200×170200 \times 170\newlineTotal word count for Website B = 11,00011,00000 wordsNext, we calculate the revenue per word for Website B:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $\$7575,000000 / 11,00011,00000
  12. Calculate Revenue per Word Website B: Now we calculate the total word count for Website A:\newlineTotal word count for Website A = 110×100110 \times 100\newlineTotal word count for Website A = 11,00011,000 wordsNext, we calculate the revenue per word for Website A:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $30,000/11,000\$30,000 / 11,000Now we perform the calculation for Website A:\newlineRevenue per word for Website A = $30,000/11,000\$30,000 / 11,000\newlineRevenue per word for Website A = $2.73\$2.73 approximatelyWe repeat the process for Website B:\newlineTotal word count = Number of posts posted \times Average number of words per post\newlineTotal word count = 200×170200 \times 170Now we calculate the total word count for Website B:\newlineTotal word count for Website B = 200×170200 \times 170\newlineTotal word count for Website B = 34,00034,000 wordsNext, we calculate the revenue per word for Website B:\newlineRevenue per word = Revenue / Total word count\newlineRevenue per word = $75,000/34,000\$75,000 / 34,000Now we perform the calculation for Website B:\newlineRevenue per word for Website B = $75,000/34,000\$75,000 / 34,000\newlineRevenue per word for Website B = 11,00011,00000 approximately

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