SOLUTION: The president of a company producing water pumps has gathered data suggesting that the average cost in dollars of producing x units per hour of a new style of pump will be c(x)=x^2

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Question 353639: The president of a company producing water pumps has gathered data suggesting that the average cost in dollars of producing x units per hour of a new style of pump will be c(x)=x^2-22x+166. Determine the number of pumps per hour to produce to keep the average cost below $75 per pump.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
c%28x%29+=+x%5E2+-+22x+%2B+166
The average cost to produce x pumps is c%28x%29
Note that to produce 0 pumps
still costs $166
You want to find x when c%28x%29+%3C+75x
Note that $75 is cost per pump, and 75x is
the cost for x pumps
What about c%28x%29+=+75x?
c%28x%29+=+x%5E2+-+22x+%2B+166
75x+=+x%5E2+-+22x+%2B+166
x%5E2+-+98x+%2B+166+=+0
Solve using quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+1
b+=+-98
c+=+166
I can't finish- Have to run
but that's the start