$\"\"$

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The differential equation is $\"\"$ .

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The solution of the differential equation with $\"\"$ is $\"\"$ ,

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where $\"\"$ is the carrying capacity and $\"\"$ is called as learning curve.

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Jim processed $\"\"$ units during first hour and $\"\"$ units during second hour.

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Therefore two points are $\"\"$ and $\"\"$ .

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The solution passes through $\"\"$ :

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$\"\"$

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The solution passes through $\"\"$ :

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$\"\"$

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Equate the equations $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

\

Therefore, Jim can process a maximum of $\"\"$ units per hour.

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$\"\"$

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Mark processed $\"\"$ units during first hour and $\"\"$ units during second hour.

\

Therefore, two points are $\"\"$ and $\"\"$ .

\

The solution passes through $\"\"$ :

\

$\"\"$

\

The solution passes through $\"\"$ :

\

$\"\"$

\

Equate the equations $\"\"$ and $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

\

Therefore, Mark can process a maximum of $\"\"$ units per hour.

\

$\"\"$

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Jim can process a maximum of $\"\"$ units per hour.

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Mark can process a maximum of $\"\"$ units per hour.