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Consider the economic model: lit = C1 + it C: = mytl it = act1 where y is GDP, 8 is consunlption, i is hwestment, m and a are multipliers. (i) Write down a difference equation for y (ii) Find the condition under which the steady state exists, and nd the steady state solution (iii) Find the condition under which the system converges to the steady state (iv) Find the condition under which y will show sinusoidal (cyclical) pattern [This occurs when the roots of the characteristic equation are complex "52 4cc