The two responses that illustrate improvements in productivity are:
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After adopting a new typing strategy, a data scientist is able to provide more data services to clients. - This shows an improvement in productivity through the adoption of a more efficient method.
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After practicing at home, a dishwasher has doubled the number of dishes he can wash in a single shift. - This indicates an improvement in his productivity due to individual skill enhancement.
The other options either relate to an increase in resources or labor rather than a direct increase in productivity resulting from improved methods or skills.