Answer
given,
opera house ticket = $50
attendance = 4000 persons
now,
opera house ticket = $52
attendance = 3800 person
assuming these are the points on the demand curve
(x, p) = (4000,50) and (x,p) = (3800,52)
using point slope formula
R(x) = x . p
at 
x = 4500
hence at x =4500 the revenue is maximum
for maximum revenue ticket price will be
p = $45
Assume that the dimensions of the room in the plan are a (width ) by b (length),
such that a*b=30.
Since the scale is 1:100, a represents 100a, and b represents 100b.
So the actual dimensions are 100a by 100b.
The area is 100a*100b=a*b*10,000=30*10,000=300,000 (square units)
Answer: 300,000 (square units)
A linear pair means that the sum of the angles is 180
degrees.
Therefore:
a + b = 180°
We know that:
a = b + 26°
Therefore:
b + 26 + b = 180
2b = 154
b = 77°
So,
a = b + 26 = 103<span>°</span>
