Answer:
A and C
Step-by-step explanation:
Volume of cone=4034.66cm^3
Pi×r^2×h/3=4034.66
Pi×13×13×h=4034.66×3
22×13×13×h/7=4034.66×3
h=4034.66×3×7/13×13×22
h=45.57
So h=45.6cm
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: c
Step-by-step explanation:
Standard Form: 702.656
Expanded Form: 700+2+0.6+0.05+0.006
