Consider a competitive market in which the market demand for the product is expressed as
P = 75 - 1.5Q,
and the supply of the product is expressed as
P = 25 + 0.50Q.
Price, P, is in dollars per unit sold, and Q represents rate of production and sales in hundreds of units per day. The typical firm in this market has a marginal cost of
MC = 2.5 + 10q.
a. Determine the equilibrium market price and rate of sales.
b. Determine the rate of sales of the typical firm, given your answer to part (a) above.
c. If the market demand were to increase to what would the new price and rate of sales in the market be? What would the new rate of sales for the typical firm be?
d. If the original supply and demand represented a long-run equilibrium condition in the market, would the new equilibrium (c) represent a new long-run equilibrium for the typical firm? Explain.
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