System of Equations
To assess resource and capability losses and evaluate the impact of academic researchers' involvement in extension activities on agricultural research efficiency, we have developed the following system of equations:

Resource Losses as a function of Extension Activities:
$L_r = 0.5E$
This equation suggests that 50% of extension activities lead to resource losses.

Capability Losses as a function of Extension Activities:
$L_c = 0.3E$
This equation suggests that 30% of extension activities lead to capability losses.

Research Efficiency as a function of Resource and Capability Losses:
$R = 100  (L_r + L_c)$
This equation suggests that research efficiency decreases by the sum of resource and capability losses.
Next, we will apply calculus to derive deeper insights into the results and perform sensitivity analysis.