SOLUTION: A rectangular poster needs to have 2700 square centimeters of printed material surrounded by margins. The margins on the left and right edges need to be 4 cm thick, and the margins
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Question 1055475: A rectangular poster needs to have 2700 square centimeters of printed material surrounded by margins. The margins on the left and right edges need to be 4 cm thick, and the margins on the top and bottom edges need to be 3 cm thick. What should the dimensions of the overall poster be in order to minimize the total area?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
let = the total area of printed material
plus margins in cm2
Let = one of the dimensions of printed material
Let = the other dimension of printed material
(1) cm2
------------------------------------
(1) cm2
(2) cm2
------------------------------------
(2)
Plug (2) into (1)
(1)
(1)
(1)
-------------------------------------
Is this a calculus problem? That would be the only
way I know how to solve this.
Set the derivative of with respect to =
----------------
(2)
(2)
(2)
----------------------
and
----------------------------------
The dimensions of the overall
poster to minimize area is 51 x 68
----------------------------------
Here's the plot of :
This looks OK -
looks like a minimum
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