The supply function for manufacturing a certain item is p(x)=x2+46x−66 { The demand function is p(x)=56x+30 If x represents the number of items (in hundreds), what is the optimum number of items to be manufactured?

16

1600

960

600

Question

The supply function for manufacturing a certain item is p(x)=x2+46x−66 { The demand function is p(x)=56x+30 If x represents the number of items (in hundreds), what is the optimum number of items to be manufactured?

16

1600

960

600

Vocaloid · Answer

optimum occurs when supply = demand

so x^2+46x−66 = 56x+30

solve for x

Vocaloid · Answer

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