Mark Tuan, the Production Manager at MT Mills, can currently expect his operation to produce 1000 square yards of fabric for each ton of raw cotton. Each ton of raw cotton requires 5 labor hours to process. He believes that he can buy a better-quality raw cotton, which will enable him to produce 1200 square yards per ton of raw cotton with the same labor hours. What will be the impact on productivity (measured in square yards per labor-hour) if he purchases the higher quality raw cotton? You are required to calculate: a) Productivity for the current raw cotton? b) The new productivity if Mark Tuan use the new raw cotton. c) What is the percentage increase in productivity?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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Mark Tuan, the Production Manager at MT Mills, can currently expect his operation to produce
1000 square yards of fabric for each ton of raw cotton. Each ton of raw cotton requires 5 labor
hours to process. He believes that he can buy a better-quality raw cotton, which will enable him
to produce 1200 square yards per ton of raw cotton with the same labor hours.
What will be the impact on productivity (measured in square yards per labor-hour) if he
purchases the higher quality raw cotton?

You are required to calculate:

a) Productivity for the current raw cotton?

b) The new productivity if Mark Tuan use the new raw cotton.

c) What is the percentage increase in productivity?

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