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The weekly cost (C) of growing and selling x acres of flowers is approximated by C = 0.2x2 – 12x + 240. How many acres of flowers would minimize these costs?



20 acres


10 acres


30 acres


60 acres

Verified Answer :

MissPhiladelphia

To determine how many acres would minimize cost, we need to differentiate the expression given and set it to zero and obtain the value of x. We do as follows:

C(x) = 0.2x^2 - 12x +240
C'(x) = 0.4x - 12
0 = 0.4x - 12
x = 30 acres <---------amount of flowers needed to minimize cost

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