In a monopoly market, you have an inverse demand function P=a-bQ, where Q is total market production and a and b are positive constants. Assume marginal costs of production are a positive constant c. Obtain the marginal revenue of this firm. Explain why it is different from that of a perfectly competitive firm. Calculate the lump sum tax which would induce this monopoly firm to exit the market. Calculate the incentive this monopoly would have to invest in a process innovation. Assume this monopoly has found a way to divide their consumer base into two identifiable groups. Discuss the impact this would have on the prices consumers pay.

ENGR.ECONOMIC ANALYSIS
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In a monopoly market, you have an inverse demand function P=a-bQ, where Q is total market production and a and b are positive constants. Assume marginal costs of production are a positive constant c. 

  1. Obtain the marginal revenue of this firm. Explain why it is different from that of a perfectly competitive firm. 
  2. Calculate the lump sum tax which would induce this monopoly firm to exit the market. 
  3. Calculate the incentive this monopoly would have to invest in a process innovation.
  4. Assume this monopoly has found a way to divide their consumer base into two identifiable groups. Discuss the impact this would have on the prices consumers pay.
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