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A company estimates that the cost (in dollars) of producing x products can be modeled by C ( x )=900+0.02 x 0.0001 x^ 2 a)

  1. A company estimates that the cost (in dollars) of producingxproducts can be modeled byC(x)=900+0.02x0.0001x^2

a) What is the average cost function?

b) On what intervals is the average cost function increasing and decreasing?

c) Find the number of products that minimizes average cost.

d) Determine the minimum value of the average cost.

e) Find the total cost for the number of products that minimizes the average cost.

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