Weiss Manufacturing intends to increase capacity by overcoming a bottleneck operation by adding new equipment. Two vendors have presented proposals. The fixed costs are $$55,000$ for proposal A and $$80,000$ for proposal B$.$ In addition to the proposed fixed costs from the two vendors, Weiss's management anticipates that they will have to spend $$10,000$ for installations to be completed. The variable cost is $$14\mathrm{.}00$ for A and $$12\mathrm{.}00$ for $B.$ The revenue generated by each unit is $$20\mathrm{.}00.$

a$)$ The break$-$even point in dollars for the proposal by Vendor $A=$$$216,667($round your response to the nearest whole number$).$

b$)$ The break$-$even point in dollars for the proposal by Vendor $B=$$ $($round your response to the nearest whole number$).$