Question

The annual yield per lemon tree is fairly constant at 320 pounds when the number of trees per acre is 50 or fewer. for each additional tree over 50, the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding. find the number of trees that should be planted on an acre to produced the maximum yield. how many pounds is the maximum yield?

Answer 1

have i become lik ur personal answerer? :P jkjk

Answer 2

lmfao!! naw is because i trust your answers & the other people nope>.<

Answer 3

lololol ... thanks XD

Answer 4

you're welcome^-^

Answer 5

Let x = no. of trees, over 50, planted
Then y = total yield per acre
:
total yield = No.of trees * lbs of lemons per tree
:
y = (50+x) * (320 - 4x)
y = 16000 - 200x + 320x - 4x^2
The quadratic equation
y = -4x^2 + 120x + 16000
:
The axis of symmetry will be the value of x for max y
The formula for that: x = -b/2a
In this problem: a=-4; b=120

Answer 6

is this kinda right?

Answer 7

yeahhh thats what i was going for... somehow i got caught up in something tho... XD.... prob cuz its getting late XD

Answer 8

true>.< but i need to finish this so i could do my physics paper next>.< but this is my last problem so thats good but help me dude im stuck>.<

Answer 9

ok so u get ur x from \[x = \frac{-b}{2a}\] to be 15 right?

Answer 10

so then once u get that... just plug it into the equation of \[y=-4x^{2} +120x +16000\]

Answer 11

and thats it?

Answer 12

i would think...
hold on... lemme check..

Answer 13

yup thats ur max

Answer 14

ya can get me bak if im wrong

Answer 15

wait so the #'s of trees planted would be 15 right and the max is 16900?

Answer 16

well the number of trees planted would be 15+ 50 gibing you 65

Answer 17

and the max is correct XD

Answer 18

you positive>.<

Answer 19

if 15 is the definite most correct answer you can get... then yes... :D

Answer 20

lol dude im confused in the find the number of trees that should be planted on an acre to produced the maximum yield part >.<