$3.$ Consider two competitive economies that have the same quantities of labor $($L $=400)$ and capital $($K $=400),$ and the same technology $($A $=100).$ The economies of the countries are described by the followingCobb$-$Douglas production functions:North Economy: Y $=$ AL$^\mathrm{.}3$K$^\mathrm{.}7$South Economy: Y$=$ AL$^\mathrm{.}7$K$^\mathrm{.}3$ Which economy has the larger total production? Explain.b$.$ In which economy is the marginal product of labor larger? Explain.c$.$ In which economy is the real wage larger? Explain.d$.$ In which economy is labor's share of income larger? Explain.