2. Suppose this market segment was supplied by a competitive market rather than a single firm with monopoly power. demand equation is given by P(q) = 10 –q. Its total cost of producing its output is given by the function TC(q) = (q2/8) + q+ 16, Then the demand curve would be the market demand curve, and the marginal cost equation MC(q) = (q/4) + 1. would represent the competitive market supply curve.
a.If this were a competitive market, what would be the short-run competitive market equilibrium price and quantity? Calculate these. Mark the competitive equilibrium price and quantity on your graph as point B.
In the case of perfectly competitive market
equilibrium price under perfectly competitive market is P=MC.
Thus 10-q = (q/4)+1
40-4q = q+4
q=7.2
Hence, required profit-maximizing quantity is 7.2
units and price at this level of production is (10-72))
$2.8
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