$3.$ Multifactor Productivity $(5$ marks$)[$CLR $1]$

Road racing bikes have special seats that are flexible with minimum contact with cyclists. These seats are called toupe saddles. Roscoe Specialty Equipment makes $100$ of these seats per day with the following resources.

Labor: $40$ hours per day @ $$15\mathrm{.}00$ per hour

Raw material: $20$ kilograms per day @ $$1\mathrm{.}00$ per kg

Energy: $$200$ per day

Capital costs: $$500$ per day C$)$ What is the $\%$ change in multifactor productivity if Roscoe can reduce the energy bill by $$150$ per day without cutting production or changing any other inputs?