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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

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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