I am feeding a mixture of two components, A and B$,$ to a separator. A is a very valuable product, and the separation is designed to recover it from the feed stream. In order for the process to be economical, I can tolerate no more than $25\%$ losses of A between the feed and the Process Output, i$.$e$.,$ the Feed contains $125\%$ of the A that is found in the Process Output. This separation leaves a Waste stream exiting the separator, which is $30\%$ component A on a molar basis. However, recovering such a high percentage of the A component comes at a pretty steep cost; the total flow rate of the process output is just $60\%$ of the Feed stream. Find the composition of the Feed and the Process Output; report your answer in either molar fractions or molar percentages