The market analyst working for the small appliance manufacturer determines that if firm produces and sells x blenders annually, total profit in dollars is
P(x)=8x+0.3x^2-0.0013x^3-392. Graph function P in a suitable viewing rectangle and use graph to answer these questions.
a. When just the few blenders are made firm loses money (profit is negative). For instance: P910)=-283.3, so firm loses 283.30 if it makes and sells only 10 blenders. Approximately how many blenders should firm make to break even? Round answer to nearest whole number.
b. How profit increases indefinitely as more blenders are made and sold?
If not, find largest possible profit firm could have?