Problema Solution

a manufacturer determines that the profit in dollars for manufacturing n units is P=2n^2-40n-165. (Assume that n is a positive integer) How many units are produces when the profit is $435

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P=2n^2-40n-165. (Assume that n is a positive integer) How many units are produces when the profit is $435..

 

So, we have 435 =2n2 -40n-165

=>2n2 -40n-165-435=0

=>2n2 -40n-600=0

=>n2 -20n-300=0

=>(n+10)(n-30)=0

=> n= -10 or n=30

bt n = no. of units>0

hence n=30

answer