Answer:
The second one :) Hope it helps
Step-by-step explanation:
Answer:
if there were 8 cats then theres 8 cats, or 32 dogs
Step-by-step explanation:
Answer:
x = −6
Explanation:
5x + 7y = -23
Y = -2x - 11
Substitute -2x - 11 for y in 5x + 7y = -23
5x + 7(−2x − 11) = −23
Simplify both sides of the equation
5x + 7(−2x − 11) = −23
5x + (7)(−2x ) + (7)(−11) = −23 (Distribute)
5x + −14x + −77 = −23
(5x + −14x) + (−77) = −23 (Combine Like Terms)
−9x + −77 = −23
−9x − 77 = −23
Add 77 to both sides
−9x − 77 + 77 = −23 + 77
−9x = 54
Divide both sides by -9
−9x / -9 = 54 / -9
x = -6
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:
180
Step-by-step explanation:
180 is the left
