Given:
Old productvity:
Labor = 3000
Capital = 10000
Productivity is:
[tex]\begin{gathered} \text{Productivity = }\frac{\text{ Total output}}{\text{ Total input}} \\ =\frac{1000}{(3000+250+100)} \\ =\frac{1000}{3350}= \\ =0.298 \end{gathered}[/tex]New productivity is:
[tex]\begin{gathered} \text{ Productivity = }\frac{\text{ Output}}{\text{ Input}} \\ =\frac{1000}{2750+225+110} \\ =0.32 \end{gathered}[/tex]Change in productivity:
[tex]\begin{gathered} =\frac{0.32-0.298}{0.298}\times100 \\ =2.2\% \end{gathered}[/tex]So productivity increase 2.2%