Question 170766This question is from textbook Algebra 2
: The equation for the cost in dollars of producing automobile tires is
2
C=0.000015x -0.03+35, where x is the number of tires produced. Find the number of tires that minimizes the cost. What is the cost for that number of tires?
***note the 2 in the second row means that 0.000015x is squared
This question is from textbook Algebra 2
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! C=0.000015x^2 -0.03x+35
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Since, the first coefficient (0.000015) is POSITIVE the equation is a parabola that opens upwards. This then says that finding the "vertex" will give you the minimum.
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The vertex is then found by:
x = -b/2a
x = -(-0.03)/2(0.000015)
x = 0.03/2(0.000015)
x = 0.03/0.00003
x = 1000 (minimum number of tires)
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The cost, plug it back into:
C=0.000015x^2 -0.03x+35
C=0.000015(1000)^2 -0.03(1000)+35
C=15 -30+35
C=15 +5
C= $20
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