Given the following equations C = 60+ 0.8Y^d I 150 10r = G = 250 T = 200 M^s/P = 100 ма Md = 40 + 0.1Y - 10r a. Derive the IS and LM equations of the model. Find the equilibrium values for aggregate output/income Y and the interest rate r. b. c. Compute for the new equilibrium values for Y and r if government spending rose from 250 to 310.