It costs 4 dollars to manufacture and distribute a backpack. If the backpacks sell at x dollars each, the number sold, n, is given by n = 4 / (x - 4) + 8(100 - x). Find the selling price that will maximize profit. The selling price that will maximize profit is $ . (Simplify your answer.)
Added by Angela C.
Close
Step 1
First, we need to determine the profit equation. Profit is the revenue (selling price x number sold) minus the cost (manufacturing and distribution costs). So, we have: Profit = (selling price x number sold) - (manufacturing and distribution costs) Show more…
Show all steps
Your feedback will help us improve your experience
Eduard Sanchez and 101 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
It costs 8 dollars to manufacture and distribute a backpack. If the backpacks sell at x dollars each, the number sold, n, is given by n = 2/(x - 8) + 3(100 - x). Find the selling price that will maximize profit. The selling price that will maximize profit is $ . (Simplify your answer.)
Zhumagali S.
It costs dollars to manufacture and distribute a backpack. If the backpacks sell at x dollars​ each, the number​ sold, n, is given by . Find the selling price that will maximize profit.
Suman Saurav T.
It costs 12 dollars to manufacture and distribute a backpack. If the backpacks sell at x dollars each, the number sold, n, is given by n = 4 / (x - 12) + 9(100 - x). Find the selling price that will maximize profit. The selling price that will maximize profit is $ . (Simplify your answer.)
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD