Final answer:
To find two numbers whose sum is 330 and whose product is a maximum, the two numbers must be equal. Therefore, the answer is 165 and 165.
Step-by-step explanation:
In order to find two numbers whose sum is 330 and whose product is a maximum, we can use the formula for the maximum product of two numbers. Let the two numbers be x and y.
According to the formula, the product of two numbers is maximum when they are equal. So, the two numbers whose sum is 330 and whose product is a maximum are 165 and 165. Therefore, the answer is option B: 165 and 165.