Lillian Fok is president of Lakefront Manufacturing, a producer of bicycle tires. Fok makes $1,200$ tires per day with the following resources:

$\backslash$table$[[$Labor:$,400$ hours per day @$$12\mathrm{.}50$ per hour$],[$Raw Material:,$20,000$ pounds per day @$$1\mathrm{.}00$ per pound$],[$Energy:$,$$$5,000$ per day$],[$Capital:$,$$$10,250$ per day$]]$

a$)$ Labor productivity per labor hour for these tires $=3$ tires$/$labor hour $($round your response to two decimal places$).$

b$)$ Multifactor productivity for these tires $=0\mathrm{.}0298$ tires$/$dollar $($round your response to four decimal places$).$ percentage rounded to two decimal places$).$

Note: calculate the new multifactor productivity to four decimal places before calculating the percentage change.