Suppose C(x)=x^2−6x+20 represents the costs, in hundreds, to produce x thousand pens. How many pens should be produced to minimize the cost? What is the minimum cost?

Question

Number of pens to minimize cost:

Minimum Cost:

Answer 1

x^2 - 6 x = C-20

x^2 - 6 x + 9 = C - 11

(x-3)^2 = C-9

vertex at x = 3,000 and cost = 900