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 210678: 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? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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?
:
C(x) = .02x^2 - 3.4x + 150, a quadratic equation, we can find the axis of symmetry and vertex to find the minimum unit cost and level of production
:
Axis of symmetry formula x = -b/(2a); in this equation: a=.02; b=-3.4
:
x = = = 85 is the production level
:
Find the unit cost, substitute 85 in the original equation:
C(x) = .02(85^2) - 3.4(85) + 150,
C(x) = .02(7225) - 289 + 150,
C(x) = 144.5 - 289 + 150
C(x) = $5.50
