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 कती दाँया बाँया मात्र कुरा गर्ने ल यो समस्या सल्व गर्नु पर्‍यो
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Posted on 10-21-10 3:47 PM     Reply [Subscribe]
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73. From past surveys and records, an orchard owner in  northern Michigan has determined that if 26 apple trees per acre are planted , each tree yields 500 apples on average the yield decreases by 10 apples per tree for each additional tree planted . How many trees should planted per acre to achieve the maximum total yield?
Sub- Math
Level- Pre-calc.
Chepter-Polynomial and Rational functions
 I went to a tutor and I saw sweat on his teeth.. Please if you can ... help...

 
Posted on 10-21-10 4:13 PM     [Snapshot: 41]     Reply [Subscribe]
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38 Trees 38*380= total of 14440 Apples!!


37*390=14430 and 39*370=14430


 
Posted on 10-21-10 4:23 PM     [Snapshot: 68]     Reply [Subscribe]
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your ans. is correct but how do you solve it?

 
Posted on 10-21-10 4:26 PM     [Snapshot: 74]     Reply [Subscribe]
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26 * 500=

27* 490=

....

...


If you can derive your equation :-)



 
Posted on 10-21-10 4:45 PM     [Snapshot: 110]     Reply [Subscribe]
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Need to follow following steps,

Write an equation

Take a first derivative

Equate to zero and find the value


r u sure ur tutor showed sweat on this one ?? or may be he just had hot Chinese food :P

 
Posted on 10-21-10 4:52 PM     [Snapshot: 118]     Reply [Subscribe]
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if some body can provide me the equation that gives quadratic equation for this problem that will be great help...  by the way this is not a derivative problem
Last edited: 21-Oct-10 04:52 PM

 
Posted on 10-21-10 5:08 PM     [Snapshot: 139]     Reply [Subscribe]
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comingsoon

r u sure this is not a derivative problem ??.

ps: I am not a MATH major :D




Last edited: 21-Oct-10 05:37 PM

 
Posted on 10-21-10 5:28 PM     [Snapshot: 165]     Reply [Subscribe]
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i may be wrong but I think to maximize or minimize, the possible way is either derivative or linear programming. I could not find proper constraints for linear programming. I have forgotten many things about this method..
But I believe in God not in religion....when I have the final answer, i am not worried about the path  :)


Maximize: (500-10x) (26+x) where 26+x = number of trees
x=12


 
Posted on 10-21-10 6:39 PM     [Snapshot: 213]     Reply [Subscribe]
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Thanks

khoikkhoik and V2001 , I had required equation of parabola(in x2 form) then I can do in my way ...
f(N)=-10N2+760N
 after getting this equation I solve like this
vertex(N)= -b/2a
               = -760/-2*10
               = 38 ans
(By the way, derivative is also another way but I have to solve by this method......)
also V2001's idea is also great... anyway thanks for discussion ....... Happy Dipawali .


















 
Posted on 10-22-10 12:41 AM     [Snapshot: 446]     Reply [Subscribe]
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Comingsoon,

As you said, derivative is NOT the another way. Your equation is derived from the derivative method



 


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