a$.(6)$ Suppose An automaker faces fixed costs of approximately $$400$ million and variable costs of $$45,000$ per vehicle.$$ The company wants to ensure it can break even by selling at least $30,000$ vehicles. At what price$-$to$-$cost margin would this breakeven target be met? Estimate a reasonable price range that would allow the firm to reach breakeven and explain your reasoning clearly.$($Note: There is no single correct answer$$show your process.$)$ b$.(6)$ The firm is considering a $$20$ million marketing investment. Executives are weighing two options: A smaller increase in sales at a higher price A larger increase in sales at a lower price Create a hypothetical scenario for each price point $($e$.$g$.,$ high vs$.$ low$)$ that would either justify or discourage the investment.$$ Briefly explain your recommendation.