You are the owner of a car dealership and you practice “no haggle” sales policy. Last year, you made a record profit of GHC 1.5 million. Your dealership competes in a market with price elasticity of demand of -1.3. Your marginal cost is GHC 12000. How much should you charge to maintain your record profit?
To find record profit we will apply formula
"P = \\frac{EF}{ 1 + EF}\\\\\n\n \n\nwhere\\\\ EF = \\frac{NEM}{ (1 + NEM}"
Where =EF = Elasticity for a firm ,
EM = Elasticity of whole market,
N=number of players in market
MC is Marginal cost of firm and P is Price
There are other two dealers in the market as well. Hence N = 3. Here ed = -1.3. This indicates that we have
"P = MC \\times \\frac{Ned }{ (Ned + 1)}\\\\\n\n \n\n= 12000 x\\times \\frac{3\\times (-1.3) }{ (3\\times (-1.3) + 1))}\\\\\n\n \n\n= GHC16,137.93"
Thus, the price you should charge for a maintain automobile is GHC16,137.93
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