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A market has many firms. Each firm has a short-run cost function C(y) = 500 + y^3 . If market supply q = 100 at

A market has many firms. Each firm has a short-run cost function C(y) = 500 + y^3 .

If market supply q = 100 at the minimum aggregate costs (in the short-run)

(a) What is the optimal number of firms n ?

(b) What is the optimal level of each firm's output y ?

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