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:you still on it?
Step-by-step explanation:
The polar form of the equation is -2 cosθ
<u>Explanation:</u>
( x + 1 )² + y² = 1
r² = x² + y²
Use x = r cosθ and y = r sinθ
Substitute these variable in x and y
( r cosθ + 1 )² + ( r sinθ )² = 1²
r² cos²θ + 1 + 2 r cosθ + r² sin²θ = 1
r² ( cos²θ + sin²θ ) + 1 + 2 r cosθ = 1
r² + 1 + 2 r cosθ = 1
r² + 2 r cosθ = 0
r² = -2 r cosθ
r = -2 cosθ
Therefore, the polar form of the equation is -2 cosθ
Answer:
A. 2(x+y+1)
Step-by-step explanation:
The expression is
x+2y+x+2
Collect like terms
x+x+2y+2
Add like terms
2x+2y+2
Factorise the expression
2(x+y+1)