Demand and supply equations for wheat are given by Supply: 7P-9Q-185 = 0 Demand : 10P-17Q-169 = 0 Where Q denotes quantity (in 000s tons per annum), and P denotes price (in $ per ton), (a). Write the above system of two equations in the form AX = B, where A is the coefficient matrix; X is the vector of independent variables, and B is the %3D vector of constants. (b). Find the inverse of the matrix A. (c). Solve the equation AX = B to determine the equilibrium price and the equilibrium quantity.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 9ECP
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16. Demand and supply equations for wheat are given by
Supply:
7P-9Q-185 = 0
Demand : 10Р-17Q-169 - 0
Where Q denotes quantity (in 000s tons per annum), and P denotes price (in $ per
ton),
(a). Write the above system of two equations in the form AX = B, where A is the
coefficient matrix; X is the vector of independent variables, and B is the
%3D
vector of constants.
(b). Find the inverse of the matrix A.
(c). Solve the equation AX = B to determine the equilibrium price and the
equilibrium quantity.
Transcribed Image Text:16. Demand and supply equations for wheat are given by Supply: 7P-9Q-185 = 0 Demand : 10Р-17Q-169 - 0 Where Q denotes quantity (in 000s tons per annum), and P denotes price (in $ per ton), (a). Write the above system of two equations in the form AX = B, where A is the coefficient matrix; X is the vector of independent variables, and B is the %3D vector of constants. (b). Find the inverse of the matrix A. (c). Solve the equation AX = B to determine the equilibrium price and the equilibrium quantity.
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