Q2 (a): Given the following demand and supply function for three competing products, 9ai = 46 – 10p, + 2p2 + 2p3 9s1 = 12p, – 16 qaz = 30 + 2p1 – 6p2 + 4p3 9s2 = 6p2 - 22 qa3 = 38 + 2p, + 4p2 - 8p3 9s3 = 6p2 – 10 Determine whether there are prices which bring the supply and demand levels into equilibrium for each of the three products. If so, what are the equilibrium quantities? %3! [Use Cramer's rule to solve the system of linear equations.]

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q2 (a): Given the following demand and supply function for three competing products,
9ai = 46 – 10p, + 2p2 + 2p3
9s1 = 12p, – 16
qaz = 30 + 2p1 – 6p2 + 4p3
9s2 = 6p2 - 22
qa3 = 38 + 2p, + 4p2 - 8p3
9s3 = 6p2 – 10
Determine whether there are prices which bring the supply and demand levels into
equilibrium for each of the three products. If so, what are the equilibrium quantities?
%3!
[Use Cramer's rule to solve the system of linear equations.]
Transcribed Image Text:Q2 (a): Given the following demand and supply function for three competing products, 9ai = 46 – 10p, + 2p2 + 2p3 9s1 = 12p, – 16 qaz = 30 + 2p1 – 6p2 + 4p3 9s2 = 6p2 - 22 qa3 = 38 + 2p, + 4p2 - 8p3 9s3 = 6p2 – 10 Determine whether there are prices which bring the supply and demand levels into equilibrium for each of the three products. If so, what are the equilibrium quantities? %3! [Use Cramer's rule to solve the system of linear equations.]
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