George Kyparisis makes bowling balls in his Miami plant. With recent increases in his? costs, he has a newfound interest in efficiency. George is interested in determining the productivity of his organization. He would like to know if his organization is maintaining the manufacturing average of a? 3% increase in productivity. He has the following data representing a month from last year and an equivalent month this? year:
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Last Year |
Now |
Cost Per Input Unit |
|
Units Produced |
1 comma 2001,200 |
1 comma 2001,200 |
|
Labor? (hours) |
280280 |
255255 |
?$1010 per hour |
Resin? (pounds) |
5050 |
4545 |
?$66 per pound |
Capital Invested? ($) |
9 comma 0009,000 |
10 comma 00010,000 |
11?% per month |
Energy? (BTU) |
2 comma 9002,900 |
2 comma 7502,750 |
?$0.600.60 per BTU |
The percent change in productivity for one month last year versus one month this year on a multifactor basis with dollars as the common denominator? =
________%
?(enter your response as a percentage rounded to two decimal? places).
Multifactor productivity = output/(labor cost + material cost + capital cost + energy cost)
Last year,
Multifactor productivity = 1200/(280*10 + 50*6 + 9000*11% + 2900*.6)
Multifactor productivity = .206 units per dollar
Now,
Multifactor productivity = 1200/(255*10 + 45*6 + 10000*11% + 2750*.6)
Multifactor productivity = .215 units per dollar
% increase in multifactor productivity = (.215 - .206)/.206 = 4.37%
So, the percentage change in productivity from the month of last year to now, is 4.37%.
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