In: Economics
Suppose the European Union (EU) is investigating a proposed
merger between two of the largest distillers of premium Scotch
liquor. Based on some economists’ definition of the relevant
market, the two firms proposing to merge enjoyed a combined market
share of about two-thirds, while another firm essentially
controlled the remaining share of the market. Additionally, suppose
that the (wholesale) market elasticity of demand for Scotch liquor
is -1.3 and that it costs $15.70 to produce and distribute each
liter of Scotch.
Based only on these data, provide quantitative estimates of the
likely pre- and postmerger prices in the wholesale market for
premium Scotch liquor.
Instruction: Do not round intermediate
calculations. Enter your final responses rounded to the nearest
penny (two decimal places).
Pre-merger price: $
Post-merger price: $
Ans.
market elasticity of demand,e = -1.3
Marginal Cost = $15.40
No. of Firms , n = 3 , because we are calculation pre merger price
pre merger price = [n x e / (1 + (n x e) ] x Marginal Cost
by putting the values we will get the following -
pre merger price = [ 3 x -1.3 / 1 + ( 3 x -1.3 ) x 15.40
= -3.9 / 2.9 x 15.40
= 1.334827 x 15.40
= $20.71 (approx.)
for post merger ,
no. of firms will change to 2, n = 2, same fomula will be used here , Hence,
post merger price = [ 2 x -1.3 / 1 + ( 2 x -1.3 ) x 15.40
= [ -2.6 / 1 + ( - 2.6 ) ] x 15.40
= ( - 2.6 / 1.6 ) x 15.40
= 1.625 x 15.40
= $25.03 (approx.)
It shows that , the price of liquor will increase after the merger .
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