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.
Answer:
$6898.50
Step-by-step explanation:
Cost price of one book = $10.95
Question says 630 friends bought her books.
And asks for total sales she made.
So we multiply cost of one book with the number of customers , it will give us the total sales.
So
Total sales = $10.95 * 630 = $6898.50
Total sales = $6898.50
Answer:
The axis of symmetry will be at 1
Step-by-step explanation:
The middle of -3 and 5 will be the axis :)
-3, -2, -1, 0, 1, 2, 3, 4, 5
-2, -1, 0, 1, 2, 3, 4
-1, 0, 1, 2, 3
0, 1, 2
1
Answer:
<h2><u>
Infinite</u></h2>
Step-by-step explanation:
7h-7h=0
We add all the numbers together, and all the variables
=0
h=0/1
<u>h=0</u>
Answer: 1540
Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.
