2. Suppose you find that a firm produces and sells x blenders annually, with their total profit (in hundreds of dollars) given by
p(x)=1.11x-23.943-0.003x^2
a) Using a graphing utility produce the graph of P in such a way that the appropriate features of the graph are displayed. Print this graph and include it with your submission.
In 1-3 sentences explain how you chose what features of the graph you are attempting to display and why?
b) Does the graph of P ever dip below the x-axis? In 1-3 sentences explain what this could indicates using the vocabulary from part 1.
c) Using the graph obtained in part a) estimate the following in interval notation:
i. For what values of x will P be negative?
ii. For what values of x will P be positive?
d) Determine when P (x) = 0 and in 1-3 sentences explain what it indicates using the vocabulary from part 1.
e) Using algebraic methods determine how many blenders must the company produce and sell in order to maximize profit?
