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

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> 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      Log On

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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) About Me  (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