SOLUTION: A small manufacturing makes and sells x machines each month. The monthly cost, C ,in dollars, of making x dollars is given by C(x)= 0.35x^2 + 3200 The monthly revenue, R, in doll

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Question 1173375: A small manufacturing makes and sells x machines each month. The monthly cost, C ,in dollars, of making x dollars is given by
C(x)= 0.35x^2 + 3200
The monthly revenue, R, in dollars, obtained by selling x machines is given by
R(x)= 180x - 0.55x^2
If the company does maximum profit what is the selling price of each machine?
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
Profit is revenue minus cost.





The maximum is at -b/2a = 100.

The selling price of every machine is R(x) divided by x, or 125 dollars.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

Your formulation is FATALLY WRONG,

and I came to fix it.

See my editing below. 


    A small manufacturing makes and sells x machines each month. The monthly cost, C ,in dollars, 
    of making x  MACHINES is given by

        C(x)= 0.35x^2 + 3200

    The monthly revenue, R, in dollars, obtained by selling x machines is given by

        R(x)= 180x - 0.55x^2

    If the company does maximum profit what is the selling price of each machine?


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