You are designing a rectangular poster to contain 144 in$^2$ of printing with a 8-in. margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used? What is the vertical height of the poster that will minimize the amount of paper used? h = in.
Added by Aaron H.
Close
Step 1
To do this, we can use the formula for the area of a rectangle, which is A = length * width. In this case, the length will be the height of the poster and the width will be the bottom plus the 2-inch margin on each side. Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 54 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
Sri K.
Eduard S.
You are designing a rectangular poster to contain 32 in2 of printing with a 2-in margin at the top and bottom and a 1-in margin at each side. What overall dimensions will minimize the amount of paper used? What is the vertical height of the poster that will minimize the amount of paper used? h = in What is the horizontal width of the poster that will minimize the amount of paper used? w = in
William S.
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