1. Find if each Cobb-Douglas production functions below is constant return to scale, increasing return to scale, or decreasing return to scale? a. Q = 2010.510.5 b. Q = 4510.810.1 C. Q = 40KO.2LO.B 2. For the Production Function below, given the output quantity is 400, write K as a function of L. Q = 50K04 L0.8 3. Solve for X Y Z when (hint: use row operation not matrices. Also, you may get negative values and decimal points for the unknowns, it is fine.) 2X + 4Y + 2Z = 144 4X + Y + 0.5Z = 120 6X + 2Y + 42 = 144 4. In a Keynesian Macroeconomics model of an economy with no foreign trade it is assumed that: Y =C+I+G+X-M C = 0.9Yt Yt = (1 - t)y M = 0.15Yt The usual notation applied, and the values below are given: 1=$200m, G=$270m, X=$180m, t=0.2 Find equilibrium value of output Y. (hint; just substitute the given information). 5. If the demand equation is provided as p = 85 - 2q find the value of quantity (q) that makes the Total Revenue (TR) equal to 400. Please provide your solution by plotting a graph working with Excel