SOLUTION: A company uses the formula C(x) = 0.02x2 – 3.4x + 150 to model the unit cost in dollars for producing stabilizer bars. For what number of bars is the unit cost at its minimum? What

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Question 59622This question is from textbook Elementry and Intermediate Algebra
: A company uses the formula C(x) = 0.02x2 – 3.4x + 150 to model the unit cost in dollars for producing stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production? This question is from textbook Elementry and Intermediate Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
A company uses the formula C(x) = 0.02x^2 – 3.4x + 150 to model the unit cost in dollars for producing stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?
This is a quadratic equation, it's minimum is it's vertex. When a quadratice equation is in standard form:f%28x%29=ax%5E2%2Bbx%2Bc, the x coordinate of the vertex is found with the formula: highlight%28x=-b%2F2a%29
a=.02, b=-3.4, and c=150
x=-%28-3.4%29%2F2%28.02%29
x=3.4%2F.04
x=85 This is the number of bars in which the unit cost is at its minimum.
C%2885%29=0.02%2885%29%5E2-3.4%2885%29%2B150
C%2885%29=0.02%287225%29-3.4%2885%29%2B150
C%2885%29=144.5-289%2B150
C%2885%29=5.5
The minimum cost per unit is $5.50
Happy Calculating!!!