SOLUTION: A rectangular page is to be used to contain 24 square inches of print. The top and bottom margins are 1.5 inches wide. The left and right side margins are 1 inch wide. What should

Question 1078551: A rectangular page is to be used to contain 24 square inches of print. The top and bottom margins are 1.5 inches wide. The left and right side margins are 1 inch wide. What should the dimensions of the page be so that the least amount of paper is used?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= width of the printed part, in inches
= height of the printed part, in inches
= area of the printed part, in square inches
So,
= width of the page, in inches
= height of the page, in inches
The area of the page (in square inches) is

One way to d=find the minimum is
to calculate the derivative ,
and solve the equation .

---> ,
The width and height of the paper are
and
.
The dimensions of the page, so that the least amount of paper is used
must be 6 inches wide by 9 inches tall.
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