Profit: The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula is Here P is measured in thousands of dollars, n is measured in thousands of widgets, and...

Profit: The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula is

Here P is measured in thousands of dollars, n is measured in thousands of widgets, and the formula is valid up to a level of 20 thousand widgets sold.

a. Make a graph of P versus n.

b. Calculate P (0) and explain in practical terms what your answer means.

c. What profit will the producer make if 15 thousand widgets are sold?

d. The break-even point is the sales level at which the profit is 0.Approximate the break-even point for this widget producer.

e. What is the largest profit possible?