Question 1192306
The prompt is incomplete. To find the maximum number of households that will use the product, you need the actual function f(n). 

**Here's how you would generally approach this type of problem:**

1. **Find the Derivative:**
   * Calculate the derivative of the function f(n) with respect to 'n'. This will give you the rate of change of the number of households using the product over time.

2. **Find Critical Points:**
   * Set the derivative equal to zero and solve for 'n'. These values of 'n' represent potential points where the maximum or minimum number of households might occur.

3. **Determine the Maximum:**
   * Use the second derivative test or analyze the behavior of the derivative around the critical points to determine which point corresponds to the maximum number of households.

4. **Calculate the Maximum Number of Households:**
   * Substitute the value of 'n' that corresponds to the maximum into the original function f(n). This will give you the maximum number of households that will use the product.

**Example:**

Let's say the function is: 

f(n) = 100n - n² 

* **Find the Derivative:**
   * f'(n) = 100 - 2n

* **Find Critical Points:**
   * 100 - 2n = 0
   * 2n = 100
   * n = 50

* **Determine the Maximum:**
   * Since the coefficient of the n² term is negative, the parabola opens downwards, indicating a maximum at the critical point.

* **Calculate the Maximum Number of Households:**
   * f(50) = 100 * 50 - 50² = 5000 - 2500 = 2500 

**Therefore, in this example, the maximum number of households that will use the product is 2500 thousand, or 2,500,000 households.**