• Recall that profit can be computed in terms of revenue and cost.Assume that the annual widget sales match the annual widget demand and annual widget production.Construct a model for profit using the models for revenue and cost that you found in the Revenue and Cost sections.Find the model forprofitP(x)
• P(x), whereP(x)
• P(x)is the total annual profit in dollars forx
• xwidgets sold, and write it asP(x)=ax
• 2
• +bx+c
• P(x)=ax2+bx+c.Note: You are using the fact thatP(x)=R(x)C(x)
• P(x)=R(x)C(x), not creating a table of data.
• What are the break-even points?What is the profit at the break-even points?Be sure to answer in complete sentences and to include units.
• What number of widgets sold will yield positive profit?Be sure to answer in complete sentences and to include units.
• Determine the number of widgets that you should try to sell in order to maximize profit.What is the maximum profit?Be sure to answer in complete sentences and to include units.

a=-0.956

b=-73.4

P(45)=2769.7

P(0)=110 larger value

P(0)=1 smaller value