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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.0first, substitute n into the C equation to get: C=4000+12(60010c)= 11200120c then substitute n and C into P equation; P=c(60012c)(11200120c) = 12(c^2)+720c11200 differentiate P in term of c: dP/dc = 24c+720 note that the 2nd derivative is negative. therefore dP/dc is a max point. now let dP/dc=0, u will get c.
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