the total cost of a new chicago$-$style deep$-$dish frozen pizza is $$12$ each. Market research suggests that the targeted customers are willing to pay $$19$ for the new product. However, a group of industrial experts calculates that the value of this new product among the targeted customers is $$22$ each, and the industrial statistics show the typical profit in this industry is $50\%$ of the total cost. What is the maximum price you would suggest for this new product?