The equilibrium point is (0;0). The Jacobian matrix is J = " d ˙a da d ˙a db d˙b da db˙ db # = 2a+αb αa 2a αb αa 1 : Evaluating the Jacobian at the equilibrium point, we get J = 0 0 0 1 : The eigenvalues of a 2 2 matrix are easy to calculate by hand: They are the solutions of the determinant equation jλI Jj=0: In this case, λ 0 0 λ+1 ...

T4 vs v100 deep learningDetermine the supply function, the demand function and the equilibrium point. 1) To determine the supply function, we use a coordinate system and write the equation of the line through the points (1000,20) and (1500,25). 2) For the demand function, one point is (1500,20). If the price increases 5% to $21, the demand will decrease 10% to 1350.

Thus, point E, the point of effective demand, is called the point of equilibrium which determines the actual level of employment and output. It should be noted that though E is the point of equilibrium, it does not imply that the economy is necessarily having full employment at this function point.