Consider the following problem: Find two numbers whose sum is 23 and whose product is a maximum. (a) Complete the table of values so that the sum of the numbers in the first two columns is always 23. First number Second number Product 1 22 22 2 21 42 3 20 60 4 19 76 5 18 90 17 102 7 16 112 15 120 9 14 126 10 13 130 11 12 132 On the basis of the evidence in the table, estimate the answer to the problem. (Enter your answers as a comma-separa 11,12 (b) Use calculus to solve the problem. (Enter your answers as a comma-separated list.) 10,13

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