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:
x=43°
Step-by-step explanation:
The angles are adjacent and create a straight line so their sum is 180°.
(x+6)°+(3x+2)°=180°
x°+6°+3x°+2°=180°
4x°+8°=180°
4x°=172°
x=43°
Go over the x axis up 5 and over the y axis left 1
Answer:
B
Step-by-step explanation:
-10 + 3x - x - 7x + 5x + 7 + 2x
combine like terms
-10 + 3x - x - 7x + 5x + 7 + 2x
-3 + 3x - x - 7x + 5x + 2x
the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x
= 2x - 3
