SOLUTION: Poster is to be designed with 50 in^2 of printed type, 4 inch margins on both the top and the bottom, and 2 inch margins on each side. Find the dimensions of the poster which minim
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Question 1009763: Poster is to be designed with 50 in^2 of printed type, 4 inch margins on both the top and the bottom, and 2 inch margins on each side. Find the dimensions of the poster which minimize the amount of paper used
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Draw the picture. x and y dimensions of the poster. x for horizontal, y for vertical.
for area function;
Use the print-type region equation, .... and substituting into A, omitting to show the steps here,
.
Taking derivative of that in preparation to find optimized values,
and again omitting further algebra steps for the derivative,...
Set that equal to 0, solve for x, and find corresponding y value.
Focus on the numerator to be set to 0.
The meaningful value for x is .
Use that to find y
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