Question

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 1

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