&#92；[ f_p = -0.2p_1^2 - 0.05p_2^2 + 32p_1 + 12p_2 - 1395 &#92；]。2.对 &#92；( p_1 &#92；) 进行偏微分，并设其偏导数为零。&#92；[ &#92；frac{&#92；partial f}{&#92；partial p_1} = -0.4p_1 + 32 = 0 &#92；]。解得 &#92；( p_1 = &#92；frac{32}{0.4} = 80 &#92；)。3.对 &#92；( p_2 &#92；) 进行偏微分，并设其偏导数为零。&#92；[ &#92；frac{&#92；partial f}{&#92；partial p_2} = -0.1p_2 + 12 = 0 &#92；]。