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Answer to Question #66493 in Microeconomics for coco

Question #66493
Two firms, a and b, produce and sell wine. The demand for
a's wine is given by the equation,
Qa = 200 - Pa + Pb:
In this equation, the price of a's wine is Pa per bottle, and the price of b's wine is
Pb per bottle. a has a marginal cost of MCa = \$20 per bottle, and a fixed
cost of FCa = \$6000. The demand for b's wine is given by the equation,
Qb = 9000 - 100Pb + 40Pa:
b has a marginal cost of MCb = \$10 per bottle, and a fi xed cost of FCb =
\$10;000. The two firms compete by simultaneously selecting prices.

1) Are the bottles of wine produced by a and b, homo-
geneous products or heterogeneous products? Your answer must reference the two fi rms
demand functions.
Qa = 200 - Pa + Pb
Qb = 9000 - 100Pb + 40Pa

Price elasticity of demand
Ea(a)=(-1)
Eb(b)=(-100)

Cross-price elasticity of demand
Ea(b)=(1)
Eb(a)=(40)

|Ea(a)|=|Ea(b)|, however |Eb(b)|&gt;|Eb(a)|, so wine b has some distinctive characteristics (different from price),comparing with wine a, that influence its demand. Wine b cannot be totally replaced with wine a by price competition.

Heterogeneous

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