Answer:
Step-by-step explanation:
x + 2 + 57 = 90
x + 59 = 90
x = 31°
x + 2 = 33°
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:
width of rectangle is 87
Step-by-step explanation:
because perimeter of rectangle = 2(l+w)
Depending on what you're supposed to do, the three could either mean to distribute it into the equation, giving you
either
(3*2015) or (3*20)*(3*15) or (3*20) +/- (3*15)
Or an example of factoring where they took 3 out of 60 and 45.
There are no instruction on what to do in this question.
Answer:
1 2 3
Step-by-step explanation: