Mathematical Optimization: Identifying the Exercise with Maximum Result

To solve this problem, we'll calculate the product of each exercise:

• Calculate $10 \times 10 = 100$
• Calculate $9 \times 11 = 99$
• Calculate $8 \times 12 = 96$
• Calculate $6 \times 15 = 90$

Now, let's work through each calculation:

Step 1: Multiply $10 \times 10$.
This gives us a product of 100.

Step 2: Multiply $9 \times 11$.
This gives us a product of 99.

Step 3: Multiply $8 \times 12$.
This gives us a product of 96.

Step 4: Multiply $6 \times 15$.
This gives us a product of 90.

Upon comparing all calculated products, we find that the highest product is 100. Thus, the exercise that results in this highest product is $10 \times 10$.

Therefore, the solution to the problem is $10 \times 10$ with a product of 100.