Hint to puzzle 8: 271
Use the Arithmetic Mean-Geometric Mean Inequality to show that, to maximize the product, all of the numbers should be equal. Then find the maximum value of y = (271/x)x, where x is a positive integer.
Use the Arithmetic Mean-Geometric Mean Inequality to show that, to maximize the product, all of the numbers should be equal. Then find the maximum value of y = (271/x)x, where x is a positive integer.