SOLUTION: The cost C(x) of serving x customers is given C(x)=2x^2+70x+812 dollars. If $2312 is spent serving customers, how many customers are served?

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Question 133091: The cost C(x) of serving x customers is given C(x)=2x^2+70x+812 dollars. If $2312 is spent serving customers, how many customers are served?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given: C(x)=2x^2+70x+812 is the model. And $2312 is spent.
2312+=+2x%5E2+%2B+70x+%2B812
0+=+2x%5E2+%2B+70x+-+1500
+0+=+x%5E2+%2B+35x+-+750
+0+=+%28x+-+15%29+%28x+%2B+50%29+
Set each factor equal to 0, yeilds x=15 or x=-50
Since one cannot feed -50 customers, the only reasonable answer is 15 customers.
Check you answer.
C%28x%29=2x%5E2%2B70x%2B812
C%28x%29=2%2815%29%5E2%2B70%2815%29%2B812
C%28x%29=450+%2B+1050+%2B+812 Check!