A store sells electronic gadgets and makes a profit based on the number of units sold. The profit function for each unit sold is given by \( P(x) = 3x^2 + 5x + 2 \), where \( x \) is the number of units sold. The store is planning to sell 50 units. Calculate the total profit and then determine the floor value of the profit per unit sold. Let's think step by step and output the final answer within \boxed{}.
user