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According to (3.5), for Q* to be positive, it is necessary that the expression (ad - bc) have the same algebraic sign as (b+d). Verify that this condition is indeed satisfied in the models of Probs. 1 and 2. (a) Qd=51-3P Q6P 10 Q=a- (b) Q = 30-2P Q₁ = -6+ SP b(a+c) _ a(h+d} − b(a + c) b+d b+d ad - be b+d

According to (3.5), for Q* to be positive, it is necessary that the expression (ad - bc) have the same algebraic sign as (b+d). Verify that this condition is indeed satisfied in the models of Probs. 1 and 2. (a) Qd=51-3P Q6P 10 Q=a- (b) Q = 30-2P Q₁ = -6+ SP b(a+c) _ a(h+d} − b(a + c) b+d b+d ad - be b+d

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is an algebraic sign, and how do I figure this problem out? This is mathematical economics

According to (3.5), for Q* to be positive, it is necessary that the expression (ad - bc) have the same algebraic sign as (b+d). Verify that this condition is indeed satisfied in the models of Probs. 1 and 2. (a) Qd=51-3P Q₁6P 10 Q*=a- - (b) Qd = 30-2P Q₁ = -6+5P b(a+c)__ a(b+d) - b(a + c) b+d = b+d ad - be b+d
Transcribed Image Text:According to (3.5), for Q* to be positive, it is necessary that the expression (ad - bc) have the same algebraic sign as (b+d). Verify that this condition is indeed satisfied in the models of Probs. 1 and 2. (a) Qd=51-3P Q₁6P 10 Q*=a- - (b) Qd = 30-2P Q₁ = -6+5P b(a+c)__ a(b+d) - b(a + c) b+d = b+d ad - be b+d
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