SOLUTION: Solve. Suppose that the cost C, in dollars, of producing x items is given by c = 3x squared - 50x + 1800. How many items can be produced for $13,000?

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Question 122763: Solve.
Suppose that the cost C, in dollars, of producing x items is given by
c = 3x squared - 50x + 1800. How many items can be produced for $13,000?
Found 2 solutions by checkley71, josmiceli:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
13,000=3x^2-50x+1,800
3x^2-50x+1,800-13,000=0
3x^2-50x-11,200=0
(3x+160)(x-70)=0
x-70=0
x=70 answer for the number of item produced.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
C+=+3x%5E2+-+50x+%2B+1800
C+=+13000
13000+=+3x%5E2+-+50x+%2B+1800
3x%5E2+-+50x+-+11200+=+0
Use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
When equation is in the form ax%5E2+%2B+bx+%2B+c+=+0
a+=+3
b+=+-50
c+=+-11200
x+=+%28-%28-50%29+%2B-+sqrt%28+%28-50%29%5E2-4%2A3%2A%28-11200%29+%29%29%2F%282%2A3%29+
x+=+%28+50+%2B-+sqrt%28+2500+%2B+134400+%29%29%2F+6+
x+=+%28+50+%2B-+sqrt%28+136900+%29%29%2F+6+
x+=+%2850+%2B-+370%29+%2F+6
x+=+70
x+=+-53.333
70 items can be produced for $13000. The negative answer makes no
sense, so I'll disregard it
To check, I'll plot this equation
+graph%28+600%2C+600%2C+-120%2C+120%2C+-20000%2C+2000%2C+3x%5E2+-+50x+-+11200%29+