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:
36 is 25% of 144
Step-by-step explanation:
25% means 25/100 or 1/4. Thus, 36 is 1/4 of 36*4 = 144
Fifty one billion six hundred thirty four million seven hundred three thousand and one
The given statement is "nine times five less than twice x".
So, twice of x can be written as 2x and nine times five is 9*5.
Now 9*5 less 2x means we need to take out 9*5 from 2x.
Hence, this statement will be converted into an algebraic expression as follows:
2x-9*5
Answer:
I'm not 100% sure, but I think it's 3
