Cortez Manufacturing intends to increase capacity by overcoming a bottleneck operation by adding new equipment. Two vendors have presented proposals. The fixed costs are $$55,000$ for proposal A and $$70,000$ for proposal B$.$ In addition to the proposed fixed costs from the two$$ vendors, management at Cortez anticipates that they will have to spend $$8,000$ for installations to be completed. The variable cost is $$12\mathrm{.}00$ for A and $$12\mathrm{.}00$ for B$.$ The revenue generated by each unit is $$22\mathrm{.}00.$

Part $2$

$$a$)$ The$$ break$-$even point in dollars for the proposal by Vendor A$=$$

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enter your response here $($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ The$$ break$-$even point in dollars for the proposal by Vendor B$=$$

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enter your response here $($round your response to the nearest whole$$ number$).$