The first number is coefficient for i, and the second number is coeff. for j
=>
<0,-8> is the same as 0i-8j, or simply 8j
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.
48 + (2*13) / 110
PE(MD)(AS)
2 * 13 = 26
48 + 26 / 110
26 / 110 = 0.236..
Rounded = 0.24
48 + 0.24 = 48.24….
??????…
Answer: The answer is -x^2 + 12x + 5
Answer:
12
Step-by-step explanation:
4*x-9=2x+15
4x-9=2x+15
-2x -2x
2x-9=15
2x=24
x=12
