Question

A concert venue wants to project profit from sales of souvenirs at the upcoming weekend concert. Based on past data, 65% of patrons will buy at least one souvenir. The attendance of the event is expected to be 14,600 patrons. If the venue typical earns $20 from the sale of each souvenir and the company donates 30% of its proceeds to local charities, what is its expected amount the company earns as profit?

Answer 1

Answer: Its expected amount earned as profit is $132,860.

Explanation:

Since we have given that

Number of patrons = 14600

Percentage of patrons will buy at least one souvenir = 65%

So, Number of patrons will buy at least one souvenir is given by

`0.65* 14600\\\\=9490`

Amount from the sale of each souvenir = $20

So, total amount would be

`9490* 20\\\\=\$189,800`

Percentage of its proceeds donates to local charities = 30%

Remaining percentage of its proceeds donates to local charities = 100% - 30% = 70%

So, it becomes,

`0.7* 189800\\\\=\$132,860`

Hence, its expected amount earned as profit is $132,860.