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Draw a graph of the firm demand curve

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Reference no: EM131018665

Quiz 4-

1. This set of questions compares a single price monopoly to a first degree price discriminating monopoly. Suppose that the market demand curve for this monopoly is given by the equation

P = 10 - (1/2)Q

while the firm's marginal cost of production is given by the equation

MC = 1

Assume for this problem that the firm has no fixed costs.

a. In the space below draw a graph of the firm's demand curve and its marginal cost curve. Label this graph clearly and completely.

b. Suppose this firm acts as a single price monopoly. In the space below show your work in determining the quantity of the good the firm will produce (Qm), the price the firm will charge (Pm), total revenue (TRm) for the firm, total cost (TCm) for the firm, and profits (Πm) for the firm. Finally, calculate producer surplus (PSm) for the firm, consumer surplus (CSm) for the firm, and deadweight loss (DWLm) for the firm. Indicate in the graph in (a) where Qm, Pm, CSm, PSm and DWLm are located. Show your work, but place your answers in the following table:

Qm

 

Pm

 

TRm

 

TCm

 

Πm

 

PSm

 

CSm

 

DWLm

 

c. Redraw the graph you had in (a) so that you can use it to guide your work in (d).

d. Suppose this firm acts as a perfect price discriminating monopolist (ppd). In the space below show your work in determining the quantity of the good the firm will produce (Qppd), total revenue (TRppd) for the firm, total cost (TCppd) for the firm, and profits (Πppd) for the firm. Finally, calculate producer surplus (PSppd) for the firm, consumer surplus (CSppd) for the firm, and deadweight loss (DWLppd) for the firm. Indicate in the graph in (c) where Qppd, CSppd, PSppd and DWLppd are located. Show your work, but place your answers in the following table:

Qppd

 

TRppd

 

TCppd

 

Πppd

 

PSppd

 

CSppd

 

DWLppd

 

Reference no: EM131018665

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