SOLUTION: Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue,R(x), and cost,C(x), are in tho
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Question 1187308: Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue,R(x), and cost,C(x), are in thousands of dollars, and x is in thousands of units.
R(x)=7x-2x^2, C(x)=x^3-3x^2+2x+1 Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! R-C=Profit=-x^3+x^2+5x-1
Take the derivative and set it equal to 0.
-3x^2+2x+5=0=3x^2-2x-5=(3x-5)(x+1)=0
x= 5/3 as only positive root.
f(5/3)=(-125/27)+25/9+25/3-1=(1/27)(-125+75+225-27)=(148/27)=$5.48 thousands
graph this
