Please help with this question .5

Contois Carpets is a small manufacturer of carpeting for home and office installations. Production capacity, demand, production cost per square yard (in dollars), and inventory holdinq cost per square yard (in dollars) for the next four quarters are shown in the network diaqram below. Develop a linear programming model to minimize cost. (Let xij be the number of square yards of carpet which flows from node i to node j.) Min s.t. Screenshot 3 Beginning Inventory Flow Quarter 1 Production Flow Quarter 2 Production Flow Quarter 3 Production Flow Quarter 4 Production Flow Quarter 1 Demand Flow Quarter 2 Demand Flow Quarter 3 Demand Flow Quarter 1 Demand Flow Quarter 2 Demand Flow Quarter 3 Demand Flow Quarter 4 Demand Flow Ending Inventory Flow xij0 for all i,j Solve the linear program to find the optimal soluti (x16,x26,x37,x48,x59,,x67,x78,x89,x910)=