Suppose a perfectly competitive market has firms with total cost given by c(y) = 3y2+ 10. a) What is the individual firm’s profit-maximizing output? b) If there are m firms, what is the industry supply function? c) Let the industry demand be X(p) =a−bp, where a and b are positive constants. Find theequilibrium price in the market. What is the equilibrium quantity sold?

ENGR.ECONOMIC ANALYSIS
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Suppose a perfectly competitive market has firms with total cost given by c(y) = 3y2+ 10.

a) What is the individual firm’s profit-maximizing output?

b) If there are m firms, what is the industry supply function?

c) Let the industry demand be X(p) =a−bp, where a and b are positive constants. Find theequilibrium price in the market. What is the equilibrium quantity sold?

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