The market demand curve for aproduct is given by DD: p=200-q
At equilibrium, Qd=QsQ_d=Q_sQd=Qs
Qd:=200−qQ_d: =200-qQd:=200−q
Qs=50+0.5qQ_s=50+0.5qQs=50+0.5q
Hence;
200−q=50+0.5q200-q=50+0.5q200−q=50+0.5q
150=1.5q150=1.5q150=1.5q
q=100q=100q=100
So, Price is given by;
200−q200-q200−q
=200−100=200-100=200−100
=100=100=100
Therefore, the Price is 100 and the quantity demanded is 100 units.
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