Consider two blocks, $\mathbf{P}$ of mass $100 \: \mathrm{kg}$ and $\mathbf{Q}$ of mass $150 \: \mathrm{ kg}$, resting as shown in the figure. The angle $\theta=30^{\circ}$. The coefficient of friction between the two blocks is $0.2$. Assume no friction exists at all other interfaces. The minimum force required to move the block $\mathbf{P}$ upward is $\mathrm{W}$.
Which one of the following options is closest to the $\textsf{CORRECT}$ magnitude of $\mathrm{W}$ (in $\text{N}$)?
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$862.2$
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$1116.6$
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$2900.0$
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$406.2$
