1000 4. Discussion: A market analyst working for a small appliance company has found that if the firm produces and sells x blenders annually, the profit is P(x) = (-x + 225x2 + 7500x - 312500), measured in dollars. a. What is the profit from the sales of 10 blenders? What does this mean? Why does this seem reasonable? b. Part a suggests that the firm could lose money if it does not sell many blenders. How would you determine how many blenders the firm must sell to break even? Notice that the profit function factors as (x + 50)(x - 25)(x - 250). What is a reasonable domain for this function, from the firm's point of view? d. Once sales pass the break-even point, does profit just continue to grow? Or is it limited? How do you know, mathematically? 1000