Uganda Breweries Limited produces two types of products; gm and Duo at its ctories inmand Morbich are equipped with different types of machinery. At each ctorjr, both products undergo two production processes, machine hours available per 1creel: in each factory for both products are represented below; W In addition, each unit of Hill and Duo uses 14 units ofraw materials. Currently, 196 units of raw materials per week are allocated to the WFactory and 294- units per week are allocated to the WFactory. At the moment, the company m get more than 4942! units of ran:r materials. It is estimated that the contribution to xed overheads and prot is UGX 300 Per Unit for the m and UGX 20-0 Per Unit of Duo. Required a] Formulate a linear programming model for each factoryr and assuming a prot maximization objective= obtain by graphical means the optimal solutions. Determine the amount of resources used at each factory. b} Formulate [but do not solve) a single linear programming model for the compact},r as a whole so that the model will determine the optimal allocation ofthe 494:! units of raw material between the two factories