Answer:
% change in multi-factor productivity = 2.88%
% change in raw materials productivity = -2.94%
% change in labor productivity = 2.33%
Explanation:
2015 2016
Output:
Inputs:
multi-factor = total output / (labor costs + materials costs + overhead costs)
MFP 2015 = $300,000 / ($40,000 + $45,000 + $10,000 + $250,000 + $2,000) = 0.8646
MFP 2016 = $330,000 / ($43,000 + $51,000 + $9,000 + $262,000 + $6,000) = 0.8895
% change = (0.8895 - 0.8646) / 0.8646 = 0.0288 = 2.88%
raw materials productivity = total output / materials costs
raw materials productivity 2015 = $300,000 / $45,000 = 6.6667
raw materials productivity 2016 = $330,000 / $51,000 = 6.4706
% change = (6.4706 - 6.6667) / 6.6667 = -0.0294 = -2.94%
labor productivity = total output / labor costs
labor productivity 2015 = $300,000 / $40,000 = 7.5
labor productivity 2016 = $330,000 / $43,000 = 7.6744
% change = (7.6744 - 7.5) / 7.5 = 0.0233 = 2.33%