Problem 41 In Problem 39, if the strip is L in. wide, and the width across the top is T in. (T < L), what base width gives the maximum capacity?
Problem 38 A cylindrical glass jar has a plastic top. If the plastic is half as expensive as glass, per unit area, find the most economical proportion of the jar.
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.
Problem 32 Find the dimension of the largest rectangular building that can be placed on a right-triangular lot, facing one of the perpendicular sides.
Problem 29 The sum of the length and girth of a container of square cross section is a inches. Find the maximum volume.
Problem 28 The perimeter of an isosceles triangle is P inches. Find the maximum area.
Problem 25 Find the most economical proportions of a quart can.
Problem 21 Find the rectangle of maximum perimeter inscribed in a given circle.
Problem 18 The strength of a rectangular beam is proportional to the breadth and the square of the depth. Find the shape of the largest beam that can be cut from a log of given size.
Problem 15 A box is to be made of a piece of cardboard 9 inches square by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made in this way.
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