SOLUTION: A manufacturer of baseballs has a daily cost of C(x) = 500 - 8x + 0.04x^2, where C is the total cost in dollars and x is the number of baseballs produced. What is the minimum total

Algebra ->  Graphs -> SOLUTION: A manufacturer of baseballs has a daily cost of C(x) = 500 - 8x + 0.04x^2, where C is the total cost in dollars and x is the number of baseballs produced. What is the minimum total      Log On


   

Question 1139610: A manufacturer of baseballs has a daily cost of C(x) = 500 - 8x + 0.04x^2, where C is the total cost in dollars and x is the number of baseballs produced. What is the minimum total cost?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+C%28x%29+=+.04x%5E2+-+8x+%2B+500+
The x-value of the minimum is:
+x%5Bmin%5D+=+-b%2F%282a%29+
+x%5Bmin%5D+=+-%28-8%29%2F%282%2A.04%29+
+x%5Bmin%5D+=+8%2F.08+
+x%5Bmin%5D+=+100+
and
+C%5Bmin%5D+=+.04%2A100%5E2+-+8%2A100+%2B+500+
+C%5Bmin%5D+=+400+-+800+%2B+500+
+C%5Bmin%5D+=+100+
$100
Here's the plot:
+graph%28+400%2C+400%2C+-30%2C+200%2C+-30%2C+200%2C+.04x%5E2+-+8x+%2B+500+%29+