EZ- Consider the followinngLM National Income Model: Y = C +1 + Go Where C = C0 + a(Y T) Y = total national income/output I = [0 bi C = total consumption T = E, + W I = total private investment spending Mo = kY hi G = total government spending T = total tax revenues The subscript 0 represents exogenous M = money supply and demand spending. i = interest rate t = income tax rate a = marginal mensitLto consume C] a.) [5] Construct a system of equations in matrix form. Perform enough substitutions such that only output and interest rate are left as the endogenous variables. b.) [20] Use any method from Matrix Algebra to solve the system for Y" and i'. c.) [10] Solve for equilibrium investment 1*, by substitution. Discuss crowding-out effect by 6")! , acn BY' 6a ' examining d.) [10] Find save. Discuss the policy implication and relationship with the marginal propensity to