In: Economics
a) Do the following production functions exhibit constant returns to scale, increasing returns to scale, or decreasing returns to scale? For full credit, show why.
1) Q= 10L^ 0.5K^0.3
2) Q= 10L^0.5K^0.5
3) Q= 10L^0.5K^0.7
4) Q= min{K, L}
b) Which objects pin down a_LC and a_KC? Explain carefully.
c) Why does labor being mobile across sectors automatically imply revenue maximization for firms? Explain carefully.