A) Demand function
price (x) demand (D(x))
4 540
3.50 810
D - 540 810 - 540
----------- = -----------------
x - 4 3.50 - 4
D - 540
----------- = - 540
x - 4
D - 540 = - 540(x - 4)
D = -540x + 2160 + 540
D = 2700 - 540x
D(x) = 2700 - 540x
Revenue function, R(x)
R(x) = price * demand = x * D(x)
R(x) = x* (2700 - 540x) = 2700x - 540x^2
b) Profit, P(x)
profit = revenue - cost
P(x) = R(x) - 30
P(x) = [2700x - 540x^2] - 30
P(x) = 2700x - 540x^2 - 30
Largest possible profit => vertex of the parabola
vertex of 2700x - 540x^2 - 30
When you calculate the vertex you find x = 5 /2
=> P(x) = 3345
Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.
1 is the simplest form since the line means division. 54 divided by 54 is 1.
The answer is definatly C but if you know the answer why did you ask???
Anyway, hope this helps, and please mark brainliest!!!!!!!!!!!
1) 6/15 or 2/5
2) .4 or 40%
for the table its gonna be 14/32 or 7/16
then 5/17 then 11/25 then 8/29 then 3/14
then 9/31 then 12/32 or 3/8 then 8/30 or 4/15 then 2/19 then 15/32
10 or u could do 25 divided by 2.5 is 10
