Compare two methods to improve the theoretical coefficient of performance of a refrigerator.

Case $1$: raise the cold reservoir temperature $\backslash ($ T$\_\{\backslash$mathrm$\{$C$\}\}\backslash )$ by $10$ K

Case $2$: lower the hot reservoir temperature $\backslash ($ T$\_\{\backslash$mathrm$\{$H$\}\}\backslash )$ by $10$ K

Which method is better?

Case $1$

Case $2$

both changes will give the same result

Explain your reasoning:

This ungraded area will provide insight to your instructor.

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