X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000
x = 125000/p^3
The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3
Therefore the price that will yeaild maximum profit is $3.
Answer:
<h2>y = 3.5x - 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<h3>y = mx + b</h3>
m - slope
b - y-intercept
We have y-intercept b = -2. Substitute:
<h3>y = mx - 2</h3>
We have the point (4, 12) → x = 4, y = 12. Put them in the equation:
12 = 4m - 2 <em>add 2 to both sides</em>
14 = 4m <em>divide both sides by 4</em>
14/4 = m → m = 3.5
Answer:
It is option 1
Step-by-step explanation:
domain is x and the two points range from -1 to 3. The picture quality wasn't that good so if I miss read sry. haha
Answer:
4.83
Step-by-step explanation:
To find the circumference of a circle you need to take the diameter times Pi. So if you need to find the diameter from the circumference, simply divide the circumference by 3.14 which is Pi
Hope this helps!
Answer: A) y = 3x + 2
Step-by-Step Explanation:
Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read
Given:
He read 2 books before joining (+2)
He plans to read 3 books per month (3x)
Equation:
= Total no. of books = 3 multiplied by the no. of months + 2 books he had read
=> y = 3x + 2
