1. Find 2 numbers whose sum is 23 and whose product is a maximum. 2. Find the dimension of a rectangle whose perimeter is 500m and whose area is as large as possible. 3. A farmer wants to fence a rectangular field with an area of 1.5 million ft². Then he will divide it in half and fence it where it will be parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? 4. What is the altitude of the largest circular cone that may be obtained from a sphere of a radius 6 inches? 5. One side of a triangle is 10 m long and the opposite angle is 40°. Find the other angles so that the area will be a maximum.

1. Find 2 numbers whose sum is 23 and whose product is a maximum. 2. Find the dimension of a rectangle whose perimeter is 500m and whose area is as large as possible. 3. A farmer wants to fence a rectangular field with an area of 1.5 million ft². Then he will divide it in half and fence it where it will be parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? 4. What is the altitude of the largest circular cone that may be obtained from a sphere of a radius 6 inches? 5. One side of a triangle is 10 m long and the opposite angle is 40°. Find the other angles so that the area will be a maximum.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 37CR

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