Metro Telcom Systems develops, sells, and installs computer systems. The company has divided its customer base into five regions, and it has $15$ representatives who sell and install the company's systems. The company wants to allocate salespeople to regions so that they maximize daily sales revenue. However, whereas the sales increase as the number of salespeople allocated to a region increases, they do so at a declining rate, according to the following nonlinear formula:

total sales $=a-(\frac{b}{x})$

Following are the a and $b$ parameters for daily sales in each region:

$\backslash$table$[[,$Region$],[,1,2,3,4,5$