Suppose an economy has four sectors: Mining, Lumber, Energy, and Transportation. Mining sells $20\%$ of its output to Lumber, $50\%$ to Energy, and retains the rest. Lumber sells $5\%$ of its output to Mining, $60\%$ to Energy, $25\%$ to Transportation, and retains the rest. Energy sells $20\%$ of its output to Mining, $20\%$ to Lumber, $20\%$

to Transportation, and retains the rest. Transportation sells $25\%$ of its output to Mining, $15\%$ to Lumber, $40\%$ to Energy, and retains the rest.

a$.$ Construct the exchange table for this economy.

b$.$ Find a set of equilibrium prices for this economy.

a$.$ Complete the exchange table below.

Distribution of Output from:

$\backslash$table$[[$Mining$,$Lumber Energy,Transportation,Purchased by:$],[,,$Mining,$],[$Lumber$,,,],[,,$Energy,$],[,,,],[,,,]]$

$($Type integers or decimals.$)$