/sci/ - Science & Math

[Anonymous No.1761144]

Solver gets tits

If a soybean farmer harvests his crop, the yield will average 120 bushels of soybeans per acre and will sell for $0.48 per bushel. However, he knows that if he waits, his yield will increase by about 10 bushels per week, but the price will decrease by $0.03 per bushel per week.

If x represents the number of weeks the farmer waits to harvest his crop, write a function [equation] to represent his profit.

[Anonymous No.1761150]

bump, dont fail me /sci/!

[Anonymous No.1761154]

>>1761144

[Anonymous No.1761157]

well if he waits long enough then the soybeans will be all worth negative money. thats a freakin goldmine because he can claim it all as capital losses and get shit tons of government subsidization and fukkin clean house.

[Anonymous No.1761158]

>>1761144
I'll also dump my brazzers passwords.

[Anonymous No.1761164]

>>1761157
I need an equation that represents it... like Y= ...etc

[Anonymous No.1761169]

Profit = (120 + 10x)(0.48 - 0.03x)

[Anonymous No.1761179]

>>1761169
Profit per acre, sorry.
So total profit = n(120 + 10x)(0.48 - 0.03x)
where n is number of acres.

[Anonymous No.1761189]

>>1761169
I like where you're going with this.. ill try to finish it.. but there has to be two terms of X somehow because the equation has to be parabolic.

[Anonymous No.1761191]

>>1761189
It is parabolic. Just expand it.

[Anonymous No.1761194]

>>1761179

Which expands to

y=57.6n+1.2nX-.3n(X^2)
where
n = number of acres
X = weeks

and the max profit is when the gradient =0
so differentiating gives

y'=1.2-.6X

and so the most profit occurs at 2 weeks

[Anonymous No.1761198]

>>1761179
Well done Anon!
Thanks!
Here's your prize
<-

[Anonymous No.1761204]

>>1761194
X represented the number of weeks, but thanks this answer seems to work because the abs. maximum is a whole number integer. Thanks again.