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Suppose the cost function for some product is C(x)=5√x+200C(x)=5x+200

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Suppose the cost function for some product is C(x)=5√x+200C(x)=5x+200. C(x)C(x) is the cost in dollars for xx items of the product.

a) Find the average cost when x=400x=400.

b) Find the rate at which the average cost is changing when x=400x=400.