Show that the long-run equilibrium number of firms is indeterminate when all firms in the industry share the same constant returns-to-scale technology and face the same factor prices.

ENGR.ECONOMIC ANALYSIS
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4.5 Show that the long-run equilibrium number of firms is indeterminate when all firms in the industry
share the same constant returns-to-scale technology and face the same factor prices.
4.7 Technology for producing q gives rise to the cost function c(q) = aq + bg. The market demand for
qisp =a - Bq.
(a) If a>0, if b < 0, and if there are J firms in the industry, what is the short-run equilibrium
market price
and the output of a representative firm?
b) Ifa> 0 and b <0, what is the long-run equilibrium market price and number of firms? Explain.
() Ifa>0and b > 0, what is the long-un equilibrium market price and number of firms? Explain.

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