If you know Calculus:
C' (x) = 2x - 10
= 0 for a min of C(x)
solve 2x-10 - 0
then sub that value of x back into C(x) to find the minimum cost
Non-Calculus:
C(x) is just an upward opening parabola
find its vertex and you have both answers
Do this by
1. completing the square, or
2. using ---- the x of the vertex is -b/(2a) = -(-10)/2 = 5
This should be the same as the Calculus method answer,
find C(5) for the actual minimum cost
3.Suppose C(x) = x^2 -10x+27 represents the costs, in hundreds, to produce x thousand pens.
How many pens should be produced to minimize the cost? What is this minimum cost?
1 answer