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.
Answer:
XV = 4.75
Step-by-step explanation:
TV/WV = UV/XV (similarity theorem)
TW = 9
WV = 3
UV = 19
TV = 9 + 3 = 12
XV = ?
Plug in the values
12/3 = 19/XV
4 = 19/XV
XV × 4 = 19
XV = 19/4
XV = 4.75
The amount of paint is the volume of paint needed.
The amount of paint needed is 0.065312 cubic meters
<h3>How to determine the amount of paint needed</h3>
The volume of a hemisphere is:
Differentiate the above equation
The above equation represents the estimate of the amount of paint needed.
Where:
- r represents the radius (r = 52/2 m)
- r' represents the thickness (r' = 0.04 cm)
So, we have:
Express cm as m
Hence, the amount of paint needed is 0.065312 cubic meters
Read more about volumes at:
brainly.com/question/10171109
Step-by-step explanation:
4+7=11
11+(7+4)=22
22+(7+8)=37
Every step 7+4n you must add
Answer: -25
Hope this helps! <3
