Consider the linear equation representing the cost $C$ of producing $n$ units of a product:
$$C = 7n + 150$$
Additionally, the company has allocated a budget of $C_{max} = 700$ dollars for production. Your task is to determine the maximum number of units $n$ that can be produced without exceeding the budget.
Once you find the maximum value of $n$, provide your answer rounded to the nearest whole number in the grid-in response.