Verify that in the example to the right, the same result is obtained if the constraint x + y = 20 is used to eliminate x rather than y.
To introduce the ideas behind optimization problems, think about pairs of nonnegative real numbers x and y between 0 and 20 with the property that their sum is 20, that is, x + y = 20. Of all possible pairs, which has the greatest product?
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Chapter 4 Solutions
Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package
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