Consider the production function: Y $=$ A $$ K$0\mathrm{.}8$N $0\mathrm{.}2$ with A $=5,$ K $=400,$ N $=3000$

$($a$)$ What is the level of output produced in this economy?

$($b$)$ What is the Marginal Product of Labour?

$($c$)$ What is the Marginal Product of Capital?

$($d$)$ A unit of output sells for $$100?$ The nominal interest rate is $5\%,$ the expected inflation

rate is $3\%,$ the depreciation rate is $13\%,$ and the population growth rate is $2\%.$ If a

unit of capital costs $$5,000,$ is the capital market in equilibrium. If not, is there too

much or too little capital?