Engage with knowledgeable experts and get accurate answers on IDNLearn.com. Our community provides timely and precise responses to help you understand and solve any issue you face.
As a commercial developer, you have planned to build a new shopping mall. The financial analyst hired for the project determines that the profit function for the total profit earned in thousands of dollars, S(x), from the shopping mall is S(x) = –x2 + 36x – 288, where x represents the number of retail stores.
c. interval(s) where the function is increasing (1 points)
d. interval(s) where the function is decreasing (1 point)
e. interval(s) where the function is positive (1 point)
f. interval(s) where the function is negative (1 point)
2. Determine the domain and range of the profit function, S(x), and interpret their meaning in the context of the problem (6 points)
1. Determine the number of retail stores the shopping mall should have that will guarantee the shopping mall will not lose money. Show mathematically how this can be calculated. (8 points)
2. What is the optimal number of retail stores the shopping mall should have to maximize profit? What will the profit be at that point (in thousands of dollars)? Find these values using the necessary mathematical calculations and show all necessary work. (7 points)
Sagot :
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.
