It might be helpful to write up the question like this:
300=100%
3=1%
120=
If you do this, you’ll see that the question is really easily solved by just finding the number necessary to multiply 3 with to get 120.
If you understand this, the rest should follow.
Answer:
$60.79
Step-by-step explanation:
First take off the 30% from $78.95. That will leave you with $55.265.
Add 6% of $78.95 for sales tax (4.737) to the $55,265 = $60.002
Then add the 1% of $78.95 for local option tax (.7895) to the $60.002.
That gives you $60.7915 - round it to the nearest cent and it gives you
$60.79
Let the number of reserved tickets = x
Let the number of lawn seats = y
Constraint functions:
Maximum capacity means 
For concert to be held 
means 
Objective functions :
Maximum profit equation p = 65x +40y
Intersection points :
(10000,10000) (20000,0)(2500,2500)(5000,0)
p at (10000,10000) = 65(10000) + 40(10000) = $1050000
p at (20000,0) = 65(20000) + 40(0) = $1300000
p at (2500,2500) = 65(2500) + 40(2500) = $262500
p at (5000,0) = 65(5000) + 40(0) = $325000
Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000
Please find attached the graph of it.