Answer:
$3
Step-by-step explanation:
Given that:
p = 8 - ln(x) when 5 < x < 500
where;
x = The total number of dogs sold
Then;
The total revenue = x * p
R = x(8 - ln(x))
R = 8x - xln(x)
The Company thus pays 1 dollar per dog
i.e.
The total cost C = 1 * x = x
Then: Profit = R - C
P = 8x - xln(x) - x
P = 7x - xln(x)
Differentiating P in respect to x
dP/dx = 7 - d/dx(xln(x))
dP/dx = 7 - x*d/dx(ln(x)) - ln(x)*d/dx(x)
dP/dx = 7 - x(1/x) - ln(x)
dP/dx = 6 - ln(x)
Since this must be maximized, dP/dx is set to be equal to 0
6 - ln(x) = 0
ln(x) = 6
x = e^6
Now, p = 8 - ln(x)
Plug in the value of x :
p = 8 - ln(e^5)
p = 8 - 5
p = 3
Therefore, each dog must be priced at $3 to maximize the profit.
-2-3x=3+1x
-2-3=1x+3x
-5=4x
x=-1.25
The total number of children's ticket bought is 28 - x
The total cost of adult's ticket is $30x.
The total cost of children's ticket is 420 - 15x.
The total cost of the tickets is 420 - 15x.
<h3>What is the total cost of the tickets bought?</h3>
The total number of children's ticket = total ticket - adult ticket
28 - x
Cost of the adult's ticket = cost per ticket x total ticket bought
$30x
Cost of the children's ticket = cost per ticket x total ticket bought
$15 x (28 - x) = $420 - 15x
Total amount spent = $420 - 15x + 30x = $420 - 15x
To learn more about total cost, please check: brainly.com/question/25717996
Answer:
658.24 m
Step-by-step explanation:
Let A be the point from where Elton started. Connect points A and C, you get triangle ABC with AB=500 m, BC=350 m and m∠B=100°. Use the cosine rule to determine the length of the segment AC:
Answer:
19 sides
Step-by-step explanation:
Sum of angles of n-side polygon = 180 *(n - 2)
180 *(n -2) = 3060
Divide both sides by 180
n- 2 = 3060/180
n - 2 = 17
n = 17+2
n = 19
