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: Estimate: 36 ? units ? miles per hour ? feet per second?
Exact: 35.32142857 but if you are supposed to use significant digits, 35.32 is probably good.
Step-by-step explanation: For the estimate, round off the fractions to whole numbers, so multiply 6 x 6 to get 36
For exact I converted the mixed numbers to improper fractions, 5 3/4 = 23/4 and 6 1/7 = 43/7. Then multiplied the numerators 23 x 43= 989. And denominators, 4x7=28.
Divide numerator by denominator 989/28= 35.321428571
The answer would be 4
(Positive 4 btw)
Answer:
Step-by-step explanation:
i dnot know
