Asked by Vio
A squash patch currently has 120 lbs of butternut squash. For each additional day in the patch, the amount of butternut squash increases by 6 lbs. If the price of butternut squash is currently 80 cents per pound, but it decreases by 2 cents each day, how long should the butternut squash grow to maximize profit?
Answers
Answered by
Steve
after x days, we have
lbs: 120 + 6x
price: .80-.02x
No idea about profit, since cost was not mentioned, but the income is certainly
(120+6x)(.80-.02x) = -0.12x^2 + 2.4x + 96
That is just a parabola with vertex at (10,108)
lbs: 120 + 6x
price: .80-.02x
No idea about profit, since cost was not mentioned, but the income is certainly
(120+6x)(.80-.02x) = -0.12x^2 + 2.4x + 96
That is just a parabola with vertex at (10,108)
Answered by
Bob
10 days, because the x of the vertex is the maximum profit
Answered by
QWERTY
thanks
Answered by
nia
@Steve, where does the -0.12x^2 + 2.4x + 96 come from? I don't understand, please answer
Answered by
Jeff
it is from (120+6x)
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