To determine the total revenue taken in by the box office for the Broadway musical, we need to calculate the revenue from each category of tickets and then sum these amounts together. Let's go through the steps.
1. Calculate the revenue from the tickets sold at \[tex]$80 each:
\[
\text{Tickets sold at \$[/tex]80} = 356
\]
[tex]\[
\text{Price per ticket} = \$80
\][/tex]
[tex]\[
\text{Revenue from \$80 tickets} = 356 \times 80 = 28480
\][/tex]
2. Calculate the revenue from the tickets sold at \[tex]$60 each:
\[
\text{Tickets sold at \$[/tex]60} = 275
\]
[tex]\[
\text{Price per ticket} = \$60
\][/tex]
[tex]\[
\text{Revenue from \$60 tickets} = 275 \times 60 = 16500
\][/tex]
3. Calculate the revenue from the tickets sold at \[tex]$45 each:
\[
\text{Tickets sold at \$[/tex]45} = 369
\]
[tex]\[
\text{Price per ticket} = \$45
\][/tex]
[tex]\[
\text{Revenue from \$45 tickets} = 369 \times 45 = 16605
\][/tex]
4. Sum the revenues from all categories to find the total revenue:
[tex]\[
\text{Total Revenue} = 28480 + 16500 + 16605 = 61585
\][/tex]
So, the total revenue that the box office took in is [tex]\( \$61,585 \)[/tex]. Therefore, the correct answer is:
A) \$61,585
