SOLUTION: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by t
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Question 1062690: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function
c(x)=1.2x^2-384x+38,667
What is the minimum unit cost? Answer by ikleyn(52782) (Show Source):
You can put this solution on YOUR website! .
A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.
If x cars are made, then the unit cost is given by the function
c(x) = 1.2x^2 - 384x + 38,667
What is the minimum unit cost?
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If you are given a quadratic function
y = ax^2 + bx + x (1)
(with the positive coefficient "a", as it is in your case), then it achieves the minimum at
x = . (2)
In your case this value of x is x = = 160.
Now to find the minimal value of the quadratic function (1), you simply need to substitute the value (2) into the function.
In your case, you need to substitute the value x = 160 to get the minimum unit cost
= 1.2*160^2 - 384*160 + 38,667.
Please make this calculation on your own.
