Answer to Question #141880 in Microeconomics for Eli

Question #141880
how to solve the function of demand and supply good are
QD=50-2P
QS=4P+2P
QD=QS
1
Expert's answer
2020-11-03T11:18:58-0500

QDQ_{D}=50-2P--------(1)

QSQ_{S} = 4P+ 2P--------(2)-

QD=QSQ_{D}=Q_{S} --------------(3)

Put the value of QD and Qs in eqn (3)

50-2P=4P+2P

8P = 50

P = 6.25

where P is the equilibrium Price.

Put the value of P in eqn (1) and (2),

we get,

QDQ_{D} =502×P50-2\times P =502×6.25=37.550-2\times6.25=37.5

QSQ_{S} =6×P6\times P =6×6.25=37.56\times6.25=37.5

At point P where the function of demand goods are equal to the function of supply goods.


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