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anonymous
 5 years ago
A particular factory manufactures (n) units per month.Each unit sells for (c) dollars.The number of units sold varies with the selling price according to ;
n=60010c
and the monthly operating cost of the factory is given by;
C=$4000+12n
The monthly profit;
P=ncC is a maximum when the unit selling price is ???
anonymous
 5 years ago
A particular factory manufactures (n) units per month.Each unit sells for (c) dollars.The number of units sold varies with the selling price according to ; n=60010c and the monthly operating cost of the factory is given by; C=$4000+12n The monthly profit; P=ncC is a maximum when the unit selling price is ???

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You have n and C given to you in terms of c, and you're looking for that particular c that will maximize the function, P. I don't know what level calculus you're doing, but you can do this a couple of ways. Since you need to maximize P(c), one thing you can do is sub. each expression for n and C into P in terms of c and take the derivative. So,\[P=(60010c)c(4000+12(60010c))\] \[=3800+120c100c^2\] Then \[P'(c)=120200c \rightarrow c=\frac{120}{200}=\frac{3}{5}=$0.60\]Please check everything, I'm half asleep.
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