The weekly cost (C) of growing and selling x acres of flowers is approximated by C = 0.2x^2-12x + 240. How many acres of flowers would minimize these costs?

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The weekly cost (C) of growing and selling x acres of flowers is approximated by C = 0.2x^2-12x + 240. How many acres of flowers would minimize these costs?

1 Answer

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Answer 1 · 2015-09-28T13:39:11

I found #30# acres.

Explanation:

You can take the derivative in #x# (acres) of your function and set it equal to zero. This will give you the #x# value when your function (in this case) has a minimum (=zero slope):
Your function:#C(x)=0.2x^2-12x+240#
Derive:
#C'(x)=0.2*2x-12=0.4x-12#
set it equal to zero:
#C'(x)=0# or:
#0.4x-12=0#
#x=12/0.4=30# acres.

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The weekly cost (C) of growing and selling x acres of flowers is approximated by C = 0.2x^2-12x + 240. How many acres of flowers would minimize these costs?

1 Answer

Explanation:

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