You can
put this solution on YOUR website!A company determines that its total cost is given by the function
C(x) = 2.5x^2 - 125x + 10,000 where x is the number of units produced and C(x) is in dollars.
:
A. How many units must be produced to minimize cost?
:
In a quadratic equation, we can find the axis of symmetry to find at what value of x, c is minimum:
:
Axis of symmetry: x =
In this equation a=2.5; b+ -125
:
x =
=
x = 25 units will give minimum cost
;
;
B. What is the minimum cost?
:
Find min cost by substituting 25 for x in the given equation:
C(x) = 2.5(25^2) - 125(25) + 10000
C(x) = 2.5(625) - 3125 + 10000
C(x) = 1562.5 - 3125 + 10000
C(x) = $8437.50 is the minimum cost
