Abillboard designer has decided that a sign advertising the movie fight club ii - rage of the mathematicians should have 1-ft. margins at the top and bottom, and 2-ft. margins on the left and right sides. furthermore, the billboard should have a total area of 200 ft2 , including the margins. find the dimensions that would maximize printed area.

Length = 20 ft

Height = 10 ft

Step-by-step explanation:

Let 'X' be the total width of the billboard and 'Y' the total height of the billboard. The total area and printed area (excluding margins) are, respectively:

Replacing the total area equation into the printed area equation, gives as an expression for the printed area as a function of 'X':

Finding the point at which the derivate for this expression is zero gives us the value of 'x' that maximizes the printed area:

If x = 20 ft, then y=200/20. Y= 10 ft.

The dimensions that maximize the printed area are:

Length = 20 ft

Height = 10 ft

omg what happend to your question? if you could edit this question i can

step-by-step explanation:

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