Question 13 Q9 b) The determinantal test suggests that the firm's profit function is locally concave around the critical point, but not elsewhere O is globally concave O is locally convex around the critical point, but not elsewhere is globally convex

Economics:
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Chapter28: Antitrust And Regulation
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only answer Q9 B)

9) A monopolist sells its product in two different countries. The demand in country 1 is
Q1 = 50 – 0.5P1, whereas the demand in country 2 is Q2 = 25 – 0.25P2. The firm's cost
function is C(Q) = 10 +0.5Q², where Q = Q1+Q2•
a) Calculate the amount of the product that the profit maximizing monopolist should sell
in each country.
b) Use the determinantal test to check whether the stationary point is the firm's local
maximum, global maximum, local minimum, global minimum, or neither.
Transcribed Image Text:9) A monopolist sells its product in two different countries. The demand in country 1 is Q1 = 50 – 0.5P1, whereas the demand in country 2 is Q2 = 25 – 0.25P2. The firm's cost function is C(Q) = 10 +0.5Q², where Q = Q1+Q2• a) Calculate the amount of the product that the profit maximizing monopolist should sell in each country. b) Use the determinantal test to check whether the stationary point is the firm's local maximum, global maximum, local minimum, global minimum, or neither.
Question 13
Q9 b) The determinantal test suggests that the firm's profit function
is locally concave around the critical point, but not elsewhere
is globally concave
is locally convex around the critical point, but not elsewhere
is globally convex
has a saddle point at the critical point
Transcribed Image Text:Question 13 Q9 b) The determinantal test suggests that the firm's profit function is locally concave around the critical point, but not elsewhere is globally concave is locally convex around the critical point, but not elsewhere is globally convex has a saddle point at the critical point
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