MathComputational mathOptimization

Introduction to optimization

Print the best poster

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A printer needs to make an advertisement poster that will have a total area of 400 cm² with 1 cm margins on the sides, a 1.5 cm margin at the top, and a 2.5 cm margin at the bottom. The printer has to find the dimensions that maximize the print area.

Select the correct objective function and constraint. $w$ and $h$ stand for the width and height respectively.

Select one option from the list

Objective function f(w, h) = (w − 2)*(h − 4); constraint C(w, h) = w*h

Objective function f(w, h) = (w − 1)*(h − 2.5)*(h - 1.5); constraint C(w, h) = w*(h+1.5)

Objective function f(w,h) = w*h; constraint C(w, h) = (w + 5)*(h+3)

Objective function f(w, h) = (w − 1.5)*(h − 1); constraint C(w, h) = h*(w + 2.5)

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