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Worked Examples · Example 3

Q.A linear demand function is given as P=100−2QP = 100 - 2Q. Find the Y-intercept and the X-intercept of this demand line, and state what each represents economically.

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Step 1 — Y-intercept (set Q=0Q = 0): P=100−2(0)=100P = 100 - 2(0) = 100. This is the choke price — the highest price at which quantity demanded becomes zero.

Step 2 — X-intercept (set P=0P = 0): 0=100−2Q⇒2Q=100⇒Q=500 = 100 - 2Q \Rightarrow 2Q = 100 \Rightarrow Q = 50. This is the saturation quantity — the quantity that would be demanded if the good cost nothing. …

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