Assignment model

Chemical uses a uses a chemical called CS-01 in the production operations of five divisions. Only six of its suppliers meet Chemical's quality control standards, and only these suppliers can produce CS- 01 in sufficient quantities to meet the needs of each division. The quantity of CS-01 needed by each division (Left) and the price per gallon charged by each supplier(Right) are as follows: Demanda (miles de Divisin Proveedor Precio por galn ($) galones 1 60 20.60 2 65 22.00 3 70 18.20 4 55 22.20 65 20.00 + I costo por galn ($) para el envo desde cada proveedor hasta cada divisin se proporciona en la tabla siguiente: Proveedor 3 2 1 4 5 Divisin 1 3.65 3.40 4.05 3.70 3.65 2 3.10 4.30 3.70 6.30 1.10 3.70 3 3.50 6.20 6.90 5.60 4 2.70 3.30 4.50 5.30 5.90 5 4.30 1.30 5.90 2.10 3.50 Chemical sees fit to distribute contracts among its suppliers so that the company is less affected by supplier problems (for example, worker strikes or resource availability). Company policy requires each division to have a separate supplier. Determine the optimal allocation of suppliers to the divisions and calculate the total cost of satisfying the division's demand