I am having a hard time putting the differentiation equation together maybe someone could point me the in right direction. here is the problem :
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=600-10c
and the monthly operating cost of the factory is given by
C=4000+12n
The monthly profit
P=nc-C
is the maximum when the unit selling price is
(1) $42
(2) $36
(3) $420
(4) $90
I am just having a hard time getting the equation for it. I guess I am stuck deep just need a kick start.
thanks for any help anyone could give me some advice.
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=600-10c
and the monthly operating cost of the factory is given by
C=4000+12n
The monthly profit
P=nc-C
is the maximum when the unit selling price is
(1) $42
(2) $36
(3) $420
(4) $90
I am just having a hard time getting the equation for it. I guess I am stuck deep just need a kick start.
thanks for any help anyone could give me some advice.
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