Tom Johnson Manufacturing intends to increase capacity through the addition of new equipment. Two vendors have presented proposals. The fixed costs for proposal A are $$50,000,$ and for proposal B$,$ $$70,000.$ The variable cost for A is $$12\mathrm{.}00,$ and for B$,$ $$10\mathrm{.}00.$ The revenue generated by each unit is $$20\mathrm{.}00.$

a$.$ Given the data, at what volume $($units$)$ of output would the two alternatives yield