Various financial data for Rocky Top Manufacturing for $2019$ and $2020$ are shown

below:

Financial Indicators $20192020$

Sales $10,000$ units $12,500$ units

Labor $$40,000$ $$43,000$

Raw Materials $$45,000$ $$51,000$

Energy $$10,000$ $$9,000$

Capital $$250,000$ $$262,000$

Other $$2,000$ $$6,000$

The average unit selling price for Rocky Top$$s products in $2019$ was $$30.$ In $2020,$ the

company decided to increase selling prices by $8\%($relative to $2019),$ to compensate for

the rising cost of raw materials.

a$)$ What is the percentage change in Rocky Top$$s raw material partial productivity

between $2019$ and $2020?$

b$)$ Determine the multifactor labor, raw material and capital productivity for Rocky

Top in $2020.$

c$)$ What is the percentage change in total productivity between $2019$ and $2020$