A mixing vessel is used to dilute two ethanol streams to a consistent concentration. The first stream is $75wt\%$

ethanol in water at a flow rate of $10,000pph.$ The second stream is a $50wt\%$ ethanol in water at a flow rate of

$7,000pph.$ The contents are mixed in the vessel and a level controller controls the final product flow. What is

the final product flow and concentration of ethanol in it$?$