Determine the optimum assignment schedule.

A company is producing a single product and selling it through five agencies situated in different cities. All of a sudden, there is a demand for the product in five more cities that do not have any agency of the company. The company is faced with the problem of deciding on how to assign the existing agencies to dispatch the product to the additional cities in such a way that the travelling distance is minimised. The distances (in km) between the surplus and deficit cities are given in the following distance matrix. EN Deficit City I II III IVVER Surplus city A 160 130 175 190 200 B 135 120 130 160 175 140 110 155 170 185 D 50 50 80 80 110 E 55 35 70 80 105