Answer:
Regular price guests = 3300
Discount price guests = 1100
Step-by-step explanation:
Breakeven point is the point where total revenue and total cost are equal.
Now, we know total cost is $66,000 per month.
Now, we are told that the museum sells 75% of its tickets for the regular price of $14.
If the total number of tickets is x. It means the number of regular tickets guests is 75%x = 0.75x
We are told that variable cost per guest in each group is $2. This means that total revenue from regular tickets guest is;
14(0.75x) + 2(0.75x) = 12x
Now, the remaining tickets are discount tickets sold for $10.
It means number of discount tickets guests = 0.25x
Total revenue from discount tickets =
10(0.25x) + 2(0.25x) = 3x
Thus, at break even point, we have;
12x + 3x = 66000
15x = 66000
x = 66000/15
x = 4400
Thus;
Regular price guests = 0.75 × 4400 = 3300
Discount price guests = 0.25 × 4400 = 1100
