**Dividing 80 into Two Parts to Maximize Product**

To divide 80 into two parts such that their product is maximized, we can use a simple strategy. Let's assume the two parts are x and y.

The product of x and y can be represented as xy. Our goal is to find the values of x and y that maximize this product.

**a) Dividing 80 into 15 and 6**

Let's start by considering the first option, where x = 15 and y = 6.

Product: xy = 15 * 6 = 90

In this case, the product of the two numbers is 90.

**b) Dividing 80 into 25 and 55**

Now, let's consider the second option, where x = 25 and y = 55.

Product: xy = 25 * 55 = 1375

In this case, the product of the two numbers is 1375.

**c) Dividing 80 into 40 and 40**

Finally, let's consider the third option, where x = 40 and y = 40.

Product: xy = 40 * 40 = 1600

In this case, the product of the two numbers is 1600.

**Explanation**

To find the maximum product, we need to compare the products obtained from each option.

Comparing the products:
- Option a: 90
- Option b: 1375
- Option c: 1600

From the comparison, it is clear that option c, where x = 40 and y = 40, gives the maximum product.

Therefore, to divide 80 into two parts such that their product is maximized, the numbers should be 40 and 40.