SOLUTION: I would really appreaciate if you can help me with the following problem I need to solve. The cost of C of production X thousand units of a product is given by C=x^2-30x+33

Algebra ->  Probability-and-statistics -> SOLUTION: I would really appreaciate if you can help me with the following problem I need to solve. The cost of C of production X thousand units of a product is given by C=x^2-30x+33      Log On


   

Question 448986: I would really appreaciate if you can help me with the following problem I need to solve.
The cost of C of production X thousand units of a product is given by
C=x^2-30x+335(Dollars)
Find the value of X for which the cost is minimum.

Thank you very much.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+C+=+x%5E2+-+30x+%2B+335+
This equation is a parabola ax%5E2+%2B+bx+%2B+c+
with a minimum at +x+=+-b%2F%282a%29+
+a+=+1+
+b+=+-30+
+c+=+335+
+-b%2F%282a%29+=+-%28-30%29%2F%282%2A1%29+
+-b%2F%282a%29+=+15+
The cost is a minimum at x = 15 thousand units
Here's a graph:
+graph%28+400%2C+400%2C+-5%2C+30%2C+-100%2C+1000%2C+x%5E2+-+30x+%2B+335+%29+