35 - 37 Solved problems in maxima and minima

Problem 35
A page is to contain 24 sq. in. of print. The margins at top and bottom are 1.5 in., at the sides 1 in. Find the most economical dimensions of the page.

Solution:

 

Problem 36
A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light for the given perimeter?

Solution:

 

Problem 37
Solve Problem 36 above if the semicircle is stained glass admitting only half the normal amount of light.

Solution:

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