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.
Answer:
<h2>( 6 , 7 )</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

From the question we have

We have the final answer as
<h3>( 6 , 7 )</h3>
Hope this helps you
Answer:
P=648
Step-by-step explanation:
The ratio 12:20 because you need it to be equal to 3:5. 3 times 4 which makes 12 so you need to multiply 5 with 4 too
It’s 2-1=1
1-1= 0
0-1=-1
We -1