Calculation questions, $10$ points each. PLEASE SHOW YOUR WORK.

The Dulac Box plant produces wooden packing boxes to be used in the local seafood industry. Current operations allow the company to make $500$ boxes per day, in two $8$hour shifts $(250$ boxes per shift$).$ The company has introduced some moderate changes in equipment, and conducted appropriate job training, so that production levels have risen to $300$ boxes per shift. Labor costs average $$10$ per hour for each of the $5$ full$-$time workers on each shift. Capital costs were previously $$3,000$ per day, and rose to $$3,200$ per day with the equipment modifications. Energy costs were unchanged by the modifications, at $$400$ per day.

a$)$ What is the firm's multifactor productivity before the changes?

b$)$ What is the firm's multifactor productivity after the changes?