An ejector pump operates by injecting a high-speed fluid stream into a slower stream to increase its pressure. Consider water flowing at a rate of $50 \mathrm{gpm}$ through a $90^{\circ}$ elbow in a $2 \mathrm{in}$. ID pipe. A stream of water is injected at a rate of $10 \mathrm{gpm}$ through a 1/2 in. ID pipe through the center of the elbow in a direction parallel to the downstream flow in the larger pipe. If both streams are at $70^{\circ} \mathrm{F}$, determine the increase in pressure in the larger pipe at the point where the two streams mix.