A detailed solution i.e with working for the below question:
Q: For the production function Q=20K^0.5 L^0.5, determine four combination of capital and labor that will produce 100 and 200 units of output. Plot these points on a graph and use them to sketch the 100 and 200 unit isoquants.
Ans: If the production function is Q=20K^0.5 L^0.5, then four combination of capital and labor that will produce 100 and 200 units of output will be (K;L):
Q = 100 units: (1;25), (25;1), (6.25;2), (2;6.25);
Q = 200 units: (1;100), (100;1), (25;2), (2;25).