Profit: The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula is P = −2 + 2.9n − 0.3n2 . Here P is measured in thousands of dollars, n is measured in...

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

P = −2 + 2.9n − 0.3n2 .

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 7 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. At what sales level is the profit as large as possible?