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.
If 3 is x that means y is -17 so that mean f=-17/3
The height of the tree is 249.5 feet
<h3>How to determine the height of the tree?</h3>
The given parameters are:
- Elevation angle = 80 degrees
- Shadow length (L) = 44 feet
Let the height of the tree be x.
So, we have:
tan(80) = x/44
Multiply both sides by 44
x = 44 * tan(80)
Evaluate
x = 249.5
Hence, the height of the tree is 249.5 feet
Read more about elevation at:
brainly.com/question/19594654
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P+2-4=14
p-2=14
add 2
p+2-2=14+2
p+0=16
p=16