Harry owns several small hotdog stands. He is trying to determine the selling price for his hotdogs
that will maximize his profits. The relationship between the selling price per hotdog and his daily
profit from each stand is shown in the following graph.
Daily Profit ($)
ITO 20 30 45 50 6.
- 20+
Selling Price per Hotdog ($)
a) What are the x-intercepts of the graph? Explain their significance in terms of the context of the
question.
b) Explain why the profit might be negative for cel vain selling prices.
c) Determine the selling price that will maximize the profit.
d) Find the equation relating the selling price per hotdog, x dollars, and the profit, P dollars.