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...
comingsoon · Oct 21, 2010 3:47 PM · 4,100 views
38 Trees 38*380= total of 14440 Apples!! 37*390=14430 and 39*370=14430
Lahure Kancha · Oct 21, 2010 4:13 PM
your ans. is correct but how do you solve it?
comingsoon · Oct 21, 2010 4:23 PM
26 * 500= 27* 490= .... ... If you can derive your equation :-)
Lahure Kancha · Oct 21, 2010 4:26 PM
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
khoikkhoik · Oct 21, 2010 4:45 PM
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
comingsoon · Oct 21, 2010 4:52 PM
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
khoikkhoik · Oct 21, 2010 5:08 PM
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
v2001 · Oct 21, 2010 5:28 PM
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 . Click here to subscribe to khoikkhoik's postings. You will get notification when the users posts in sajha.
comingsoon · Oct 21, 2010 6:39 PM
If i were you, i would lease the land and turn it into a grape vine. You cannot produce wine out of apples, can you?
dimag kharab · Oct 21, 2010 6:51 PM
but can Brew Brandy :-)
Lahure Kancha · Oct 21, 2010 11:45 PM
Comingsoon, As you said, derivative is NOT the another way. Your equation is derived from the derivative method
khoikkhoik · Oct 22, 2010 12:41 AM
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