c(x) = 4lnx + (3 - 10/x)^2
dc/dx = 4/x + 2(3 - 10/x)(10/x^2)
so, where is dc/dx = 0?
Is that a max or a min?
Does it satisfy the imposed conditions?
In making electric kettles, the manufacturer performs a cost control study and discovers that to produce x kettles the cost per kettle c(x) is given by c(x) =4lnx + (3-10/x)^2 hundred dollars with a minimum production capacity per day of 10 kettles. How many kettles should be purchased to keep the cost per kettle a minimum?
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