You are designing a poster with 500 cm2 of printable area (not including the margins) and it will have margins of 2 centimeters at the top and bottom and 3 centimeters at the sides.(a) Find the area of the poster board as a function of the height of the printable area.(b) Identify the interval where this function should be minimized to solve the required optimization problem. In other words, what are the possible values of the height of the printable area?Note: there is no need to actually find the extreme value. Only the function and the interval are asked in (a) and (b); complete work/explanations for those answers are expected as usual.

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Answered: You are designing a poster with 500 cm2…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 37CR

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You are designing a poster with 500 cm2 of printable area (not including the margins) and it will have margins of 2 centimeters at the top and bottom and 3 centimeters at the sides.

(a) Find the area of the poster board as a function of the height of the printable area.
(b) Identify the interval where this function should be minimized to solve the required optimization problem. In other words, what are the possible values of the height of the printable area?

Note: there is no need to actually find the extreme value. Only the function and the interval are asked in (a) and (b); complete work/explanations for those answers are expected as usual.

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