The owner of a small-appliance manufacturer finds that if the firm produces and sells x blenders monthly, the total monthly profit P (in dollars) is given by Px=8x+0.3x2-0.0013x3-372. The owner wants to produce no more than 225 blenders/month in order to maintain quality. (SLO #1, 2, 6)

1-Find the y-intercept and explain what it means in this context.

2-Find the x-intercept(s) and explain what they mean in this context.

3 -Determine the domain of the function in the context of this problem.

4-How many blenders per month should the company produce in order to have a monthly profit of at least $3000.

5 How many blenders should be produced in order to maximize profit? What would the annual profit be, rounded to the nearest dollar, if that many were produced and sold?