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:$,425$ hours per day @ $$12\mathrm{.}00$ per hour$],[$Raw Material:,$20,000$ pounds per day @$$1\mathrm{.}00$ per pound$],[$Energy:$,$$$5,000$ per day$],[$Capital:$,$$$10,000$ per day$]]$

a$)$ Labor productivity per labor hour for these tires $=2\mathrm{.}82$ tires$/$labor hour $($round your response to two decimal places$).$

b$)$ Multifactor productivity for these tires $=,$ tires$/$dollar $($round your response to four decimal places$).$

c$)$ The percent changein multifactor productivity if Fok can reduce the energy bill by $$1,000$ per day without cutting production or changing any other inputs $=2\mathrm{.}64\%($enter your response percentage rounded to two decimal places$).$

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