Use the following Profit function: P(x) = 3.15x 8, 400 Here, x is measured in units produced and sold, and P(x) is measured in dollars.

(a) What is the profit if the firm produces and sells 0 units?

(b) What is the profit if the firm produces and sells 2,000 units?

(c) What is the profit if the firm produces and sells 4,000 units?

(d) What is the profit if the firm produces and sells 6,000 units?

(e) Find the break-even point for this production process.

(f) How many units must be produced and sold to achieve a profit of $43,000?