Problema Solution
suppose c(x)=x^2-10x+27 represents the cost in hundreds to produce x thousand pens. how many pens should be produced to minimize the cost? what is the minimum cost?
Answer provided by our tutors
x^2 - 10x + 27 factors to (x-5)^2 + 2
if x=5, then (x-5)^2 = 0
c(5) = 2
5,000 pens should be produced to minimize the cost
the minimum cost is $200