(See Steps) Parasite. The average time for a C grandis egg to develop into an adult can be modeled by D(H,L)=25.6691-0.838H+2.4297L+0.0084H^2-0.0726L^2-0.0181HL
Question: Parasite. The average time for a C grandis egg to develop into an adult can be modeled by
\[D(H,L)=25.6691-0.838H+2.4297L+0.0084{{H}^{2}}-0.0726{{L}^{2}}-0.0181HL\text{ days }\]where the relative humidity is held constant at \(H \%\) the eggs are exposed to \(L\) hours of light each day, and the temperature is held constant at \(30^{\circ} \mathrm{C}\).
- Determine the point where the partial derivatives of \(D\) are both equal to zero.
- Write a sentence interpreting the point in part a and characterizing it as a maximum, a minimum, or a saddle point.
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