SOLUTION: A company can manufacture x hundred items for a total cost of C=500+1400x-100x2. Find x if the total cost is $5,300?

Question 1054875: A company can manufacture x hundred items for a total cost of C=500+1400x-100x2. Find x if the total cost is $5,300?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
5300=500+1400x-100x2
100x^2-1400x+4800=0
x^2-14x+48=0, after dividing by 100.
(x-6)(x-8)=0
x=6, 8, or 600, 800 items. Maximum x is -b/2a=-1400/-200=7
check both
C6=500+8400-3600=$5300
C8=500+11200-6400=$5300

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