SOLUTION: the cost of producing x units of a product is C=0.4x^2+16x+10 and therefore the average cost per unit is C=C/x=(0.4x^2+16x+10)/x, 0< x Sketch the graph of the average cost func

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Question 637105: the cost of producing x units of a product is C=0.4x^2+16x+10 and therefore the average cost per unit is C=C/x=(0.4x^2+16x+10)/x, 0< x
Sketch the graph of the average cost function and use it to estimate the number of units that should be produced to minimize the average cost per unit.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

C=0.4x^2+16x+10  x > 0

C = .4x + 16 + 10/x 

C' = .4  - 10/x^2

   .4 - 10/x^2 = 0

       x^2 = 10/.4 = 25 

         x = 5, units that should be produced to minimize the average cost per unit



 

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