Please use the following scenario to answer the questions that follow. Suppose an economyr is characterized by the following equations: 1: 100 + .EUY 1000f C = 300 + .200' T) T = 50 G = 10!] a} Solve for demand as a function of output and the interest rate Zr' and simplify as much as possible. b) Derive the IS equation, Yli}. c) What is the multiplier in this scenario? d) Give a brief description of what the .2 stands for in the consumption function. e) Solve for equilibrium output if the Fed sets the interest rate to 1%, i" = .01