The demand curve is QD=500-1/2P
Find the point at which point elasticity is equal to -1.
Ed=−b×P/Qd.Ed = -b×P/Qd.Ed=−b×P/Qd.
−1/2×(1000−2Q)/Q=−1,-1/2×(1000 - 2Q)/Q = -1,−1/2×(1000−2Q)/Q=−1,
(1000 - 2Q)/Q = 2,
1000 - 2Q = 2Q (Q is not equal zero),
4Q = 1000,
Q = 250 units,
P = 1000 - 2×250 = 500.
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