Lillian Fok is president of Lakefront Manufacturing, a producer of bicycle tires. Fok makes $1,000$ tires per day with the following resour

Labor:

$400$ hours per day @$$12\mathrm{.}00$ per hour

Raw Material:

$21,000$ pounds per day @ $$1\mathrm{.}50$ per pound

Energy:

$$5,000$ per day

Capital:

$$10,000$ per day

a$)$ Labor productivity per labor hour for these tires $=2\mathrm{.}5$ tires$/$labor hour $($round your response to two decimal places$).$

b$)$ Multifactor productivity for these tires $=0\mathrm{.}0195$ tires$/$dollar $($round your response to four decimal places$).$

c$)$ The percent change in multifactor productivity if Fok can reduce the energy bill by $$1,000$ per day without cutting production or chang

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