SOLUTION: Manufacturer of chocolate candies has a daily cost defined by C(x)=600-1x+0.001x^2 where C is the total and x is the number of chocolate candies produced. What number of chocolate

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Question 1166783: Manufacturer of chocolate candies has a daily cost defined by C(x)=600-1x+0.001x^2 where C is the total and x is the number of chocolate candies produced. What number of chocolate candies will result to a minimum cost? What is the minimum daily cost?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Finding the minimum-----------------

y=0.001x%5E2-x%2B600
y=0.001%28x%5E2-1000x%29%2B600
y=0.001%28x%5E2-1000x%2B%281000%2F2%29%5E2%29%2B600-%280.001%29%281000%2F2%29%5E2
y=0.001%28x-500%29%5E2%2B600-%280.001%29%28500%29%5E2
The minimum C will occur for highlight%28x=500%29.

You can find the value for C at its minimum using either the original function or the last equation.

C%28500%29=0.001%2A500%5E2-500%2B600
250000%2A0.001%2B500
250%2B500
highlight%28750%29